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Finding the Third Proportional to 181,566 and 282,294

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Solution

The third proportional to 181,566 and 282,294 is: 438,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,566 : 282,294 = 282,294 : x
  2. Step 2: Convert to fraction form
    181,566/282,294 = 282,294/x
  3. Step 3: Cross multiply
    181,566x = 282,294 × 282,294
  4. Step 4: Simplify right side
    181,566x = 79,689,902,436
  5. Step 5: Solve for x
    x = 79,689,902,436/181,566
  6. Step 6: Final answer
    x = 438,903.22

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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.