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Finding the Third Proportional to 248,683.50 and 537,097.50

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Solution

The third proportional to 248,683.50 and 537,097.50 is: 1,160,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,683.50 : 537,097.50 = 537,097.50 : x
  2. Step 2: Convert to fraction form
    248,683.50/537,097.50 = 537,097.50/x
  3. Step 3: Cross multiply
    248,683.50x = 537,097.50 × 537,097.50
  4. Step 4: Simplify right side
    248,683.50x = 288,473,724,506.25
  5. Step 5: Solve for x
    x = 288,473,724,506.25/248,683.50
  6. Step 6: Final answer
    x = 1,160,003.48

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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.