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Finding the Third Proportional to 224,836 and 338,730

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Solution

The third proportional to 224,836 and 338,730 is: 510,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,836 : 338,730 = 338,730 : x
  2. Step 2: Convert to fraction form
    224,836/338,730 = 338,730/x
  3. Step 3: Cross multiply
    224,836x = 338,730 × 338,730
  4. Step 4: Simplify right side
    224,836x = 114,738,012,900
  5. Step 5: Solve for x
    x = 114,738,012,900/224,836
  6. Step 6: Final answer
    x = 510,318.69

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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.