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Finding the Third Proportional to 130,167 and 176,817.50

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Solution

The third proportional to 130,167 and 176,817.50 is: 240,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167 : 176,817.50 = 176,817.50 : x
  2. Step 2: Convert to fraction form
    130,167/176,817.50 = 176,817.50/x
  3. Step 3: Cross multiply
    130,167x = 176,817.50 × 176,817.50
  4. Step 4: Simplify right side
    130,167x = 31,264,428,306.25
  5. Step 5: Solve for x
    x = 31,264,428,306.25/130,167
  6. Step 6: Final answer
    x = 240,187.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.