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Finding the Third Proportional to 224,870 and 336,089

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Solution

The third proportional to 224,870 and 336,089 is: 502,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,870 : 336,089 = 336,089 : x
  2. Step 2: Convert to fraction form
    224,870/336,089 = 336,089/x
  3. Step 3: Cross multiply
    224,870x = 336,089 × 336,089
  4. Step 4: Simplify right side
    224,870x = 112,955,815,921
  5. Step 5: Solve for x
    x = 112,955,815,921/224,870
  6. Step 6: Final answer
    x = 502,316.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.