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Finding the Third Proportional to 224,730 and 336,459

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Solution

The third proportional to 224,730 and 336,459 is: 503,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,730 : 336,459 = 336,459 : x
  2. Step 2: Convert to fraction form
    224,730/336,459 = 336,459/x
  3. Step 3: Cross multiply
    224,730x = 336,459 × 336,459
  4. Step 4: Simplify right side
    224,730x = 113,204,658,681
  5. Step 5: Solve for x
    x = 113,204,658,681/224,730
  6. Step 6: Final answer
    x = 503,736.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.