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Finding the Third Proportional to 226,377 and 306,349

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Solution

The third proportional to 226,377 and 306,349 is: 414,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,377 : 306,349 = 306,349 : x
  2. Step 2: Convert to fraction form
    226,377/306,349 = 306,349/x
  3. Step 3: Cross multiply
    226,377x = 306,349 × 306,349
  4. Step 4: Simplify right side
    226,377x = 93,849,709,801
  5. Step 5: Solve for x
    x = 93,849,709,801/226,377
  6. Step 6: Final answer
    x = 414,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.