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Finding the Third Proportional to 168,700 and 254,792

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Solution

The third proportional to 168,700 and 254,792 is: 384,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,700 : 254,792 = 254,792 : x
  2. Step 2: Convert to fraction form
    168,700/254,792 = 254,792/x
  3. Step 3: Cross multiply
    168,700x = 254,792 × 254,792
  4. Step 4: Simplify right side
    168,700x = 64,918,963,264
  5. Step 5: Solve for x
    x = 64,918,963,264/168,700
  6. Step 6: Final answer
    x = 384,818.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.