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Finding the Third Proportional to 169,020 and 253,002.38

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Solution

The third proportional to 169,020 and 253,002.38 is: 378,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,020 : 253,002.38 = 253,002.38 : x
  2. Step 2: Convert to fraction form
    169,020/253,002.38 = 253,002.38/x
  3. Step 3: Cross multiply
    169,020x = 253,002.38 × 253,002.38
  4. Step 4: Simplify right side
    169,020x = 64,010,201,755.64
  5. Step 5: Solve for x
    x = 64,010,201,755.64/169,020
  6. Step 6: Final answer
    x = 378,713.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.