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Finding the Third Proportional to 248,721.89 and 537,153.40

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Solution

The third proportional to 248,721.89 and 537,153.40 is: 1,160,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,721.89 : 537,153.40 = 537,153.40 : x
  2. Step 2: Convert to fraction form
    248,721.89/537,153.40 = 537,153.40/x
  3. Step 3: Cross multiply
    248,721.89x = 537,153.40 × 537,153.40
  4. Step 4: Simplify right side
    248,721.89x = 288,533,773,452.96
  5. Step 5: Solve for x
    x = 288,533,773,452.96/248,721.89
  6. Step 6: Final answer
    x = 1,160,065.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.