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Finding the Third Proportional to 169,123.50 and 267,601.50

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Solution

The third proportional to 169,123.50 and 267,601.50 is: 423,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,123.50 : 267,601.50 = 267,601.50 : x
  2. Step 2: Convert to fraction form
    169,123.50/267,601.50 = 267,601.50/x
  3. Step 3: Cross multiply
    169,123.50x = 267,601.50 × 267,601.50
  4. Step 4: Simplify right side
    169,123.50x = 71,610,562,802.25
  5. Step 5: Solve for x
    x = 71,610,562,802.25/169,123.50
  6. Step 6: Final answer
    x = 423,421.72

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.