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Finding the Third Proportional to 169,127 and 267,603

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Solution

The third proportional to 169,127 and 267,603 is: 423,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,127 : 267,603 = 267,603 : x
  2. Step 2: Convert to fraction form
    169,127/267,603 = 267,603/x
  3. Step 3: Cross multiply
    169,127x = 267,603 × 267,603
  4. Step 4: Simplify right side
    169,127x = 71,611,365,609
  5. Step 5: Solve for x
    x = 71,611,365,609/169,127
  6. Step 6: Final answer
    x = 423,417.70

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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.