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Finding the Third Proportional to 252,820.50 and 546,132

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Solution

The third proportional to 252,820.50 and 546,132 is: 1,179,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,820.50 : 546,132 = 546,132 : x
  2. Step 2: Convert to fraction form
    252,820.50/546,132 = 546,132/x
  3. Step 3: Cross multiply
    252,820.50x = 546,132 × 546,132
  4. Step 4: Simplify right side
    252,820.50x = 298,260,161,424
  5. Step 5: Solve for x
    x = 298,260,161,424/252,820.50
  6. Step 6: Final answer
    x = 1,179,730.92

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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.