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Finding the Third Proportional to 182,210 and 254,792

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Solution

The third proportional to 182,210 and 254,792 is: 356,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,210 : 254,792 = 254,792 : x
  2. Step 2: Convert to fraction form
    182,210/254,792 = 254,792/x
  3. Step 3: Cross multiply
    182,210x = 254,792 × 254,792
  4. Step 4: Simplify right side
    182,210x = 64,918,963,264
  5. Step 5: Solve for x
    x = 64,918,963,264/182,210
  6. Step 6: Final answer
    x = 356,286.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.