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Finding the Third Proportional to 147,762 and 216,398

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Solution

The third proportional to 147,762 and 216,398 is: 316,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,762 : 216,398 = 216,398 : x
  2. Step 2: Convert to fraction form
    147,762/216,398 = 216,398/x
  3. Step 3: Cross multiply
    147,762x = 216,398 × 216,398
  4. Step 4: Simplify right side
    147,762x = 46,828,094,404
  5. Step 5: Solve for x
    x = 46,828,094,404/147,762
  6. Step 6: Final answer
    x = 316,915.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.