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Finding the Third Proportional to 187,904 and 291,297

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Solution

The third proportional to 187,904 and 291,297 is: 451,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,904 : 291,297 = 291,297 : x
  2. Step 2: Convert to fraction form
    187,904/291,297 = 291,297/x
  3. Step 3: Cross multiply
    187,904x = 291,297 × 291,297
  4. Step 4: Simplify right side
    187,904x = 84,853,942,209
  5. Step 5: Solve for x
    x = 84,853,942,209/187,904
  6. Step 6: Final answer
    x = 451,581.35

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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.