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Finding the Third Proportional to 224,044 and 346,902

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Solution

The third proportional to 224,044 and 346,902 is: 537,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,044 : 346,902 = 346,902 : x
  2. Step 2: Convert to fraction form
    224,044/346,902 = 346,902/x
  3. Step 3: Cross multiply
    224,044x = 346,902 × 346,902
  4. Step 4: Simplify right side
    224,044x = 120,340,997,604
  5. Step 5: Solve for x
    x = 120,340,997,604/224,044
  6. Step 6: Final answer
    x = 537,131.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.