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Finding the Third Proportional to 145,485 and 225,792

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Solution

The third proportional to 145,485 and 225,792 is: 350,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,485 : 225,792 = 225,792 : x
  2. Step 2: Convert to fraction form
    145,485/225,792 = 225,792/x
  3. Step 3: Cross multiply
    145,485x = 225,792 × 225,792
  4. Step 4: Simplify right side
    145,485x = 50,982,027,264
  5. Step 5: Solve for x
    x = 50,982,027,264/145,485
  6. Step 6: Final answer
    x = 350,428.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.