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Finding the Third Proportional to 187,671 and 291,028.50

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Solution

The third proportional to 187,671 and 291,028.50 is: 451,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,671 : 291,028.50 = 291,028.50 : x
  2. Step 2: Convert to fraction form
    187,671/291,028.50 = 291,028.50/x
  3. Step 3: Cross multiply
    187,671x = 291,028.50 × 291,028.50
  4. Step 4: Simplify right side
    187,671x = 84,697,587,812.25
  5. Step 5: Solve for x
    x = 84,697,587,812.25/187,671
  6. Step 6: Final answer
    x = 451,308.87

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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.