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Finding the Third Proportional to 187,158.50 and 287,966.50

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Solution

The third proportional to 187,158.50 and 287,966.50 is: 443,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,158.50 : 287,966.50 = 287,966.50 : x
  2. Step 2: Convert to fraction form
    187,158.50/287,966.50 = 287,966.50/x
  3. Step 3: Cross multiply
    187,158.50x = 287,966.50 × 287,966.50
  4. Step 4: Simplify right side
    187,158.50x = 82,924,705,122.25
  5. Step 5: Solve for x
    x = 82,924,705,122.25/187,158.50
  6. Step 6: Final answer
    x = 443,072.08

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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.