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Finding the Third Proportional to 229,371 and 337,297

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Solution

The third proportional to 229,371 and 337,297 is: 496,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,371 : 337,297 = 337,297 : x
  2. Step 2: Convert to fraction form
    229,371/337,297 = 337,297/x
  3. Step 3: Cross multiply
    229,371x = 337,297 × 337,297
  4. Step 4: Simplify right side
    229,371x = 113,769,266,209
  5. Step 5: Solve for x
    x = 113,769,266,209/229,371
  6. Step 6: Final answer
    x = 496,005.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.