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Finding the Third Proportional to 181,602 and 358,551

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Solution

The third proportional to 181,602 and 358,551 is: 707,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,602 : 358,551 = 358,551 : x
  2. Step 2: Convert to fraction form
    181,602/358,551 = 358,551/x
  3. Step 3: Cross multiply
    181,602x = 358,551 × 358,551
  4. Step 4: Simplify right side
    181,602x = 128,558,819,601
  5. Step 5: Solve for x
    x = 128,558,819,601/181,602
  6. Step 6: Final answer
    x = 707,915.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.