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Finding the Third Proportional to 187,158.75 and 287,967

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Solution

The third proportional to 187,158.75 and 287,967 is: 443,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,158.75 : 287,967 = 287,967 : x
  2. Step 2: Convert to fraction form
    187,158.75/287,967 = 287,967/x
  3. Step 3: Cross multiply
    187,158.75x = 287,967 × 287,967
  4. Step 4: Simplify right side
    187,158.75x = 82,924,993,089
  5. Step 5: Solve for x
    x = 82,924,993,089/187,158.75
  6. Step 6: Final answer
    x = 443,073.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.