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Finding the Third Proportional to 118,528 and 257,792

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Solution

The third proportional to 118,528 and 257,792 is: 560,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,528 : 257,792 = 257,792 : x
  2. Step 2: Convert to fraction form
    118,528/257,792 = 257,792/x
  3. Step 3: Cross multiply
    118,528x = 257,792 × 257,792
  4. Step 4: Simplify right side
    118,528x = 66,456,715,264
  5. Step 5: Solve for x
    x = 66,456,715,264/118,528
  6. Step 6: Final answer
    x = 560,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.