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Finding the Third Proportional to 236,663 and 357,459

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Solution

The third proportional to 236,663 and 357,459 is: 539,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,663 : 357,459 = 357,459 : x
  2. Step 2: Convert to fraction form
    236,663/357,459 = 357,459/x
  3. Step 3: Cross multiply
    236,663x = 357,459 × 357,459
  4. Step 4: Simplify right side
    236,663x = 127,776,936,681
  5. Step 5: Solve for x
    x = 127,776,936,681/236,663
  6. Step 6: Final answer
    x = 539,910.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.