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Finding the Third Proportional to 137,508 and 291,288

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Solution

The third proportional to 137,508 and 291,288 is: 617,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,508 : 291,288 = 291,288 : x
  2. Step 2: Convert to fraction form
    137,508/291,288 = 291,288/x
  3. Step 3: Cross multiply
    137,508x = 291,288 × 291,288
  4. Step 4: Simplify right side
    137,508x = 84,848,698,944
  5. Step 5: Solve for x
    x = 84,848,698,944/137,508
  6. Step 6: Final answer
    x = 617,045.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.