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Finding the Third Proportional to 181,526 and 253,902

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Solution

The third proportional to 181,526 and 253,902 is: 355,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,526 : 253,902 = 253,902 : x
  2. Step 2: Convert to fraction form
    181,526/253,902 = 253,902/x
  3. Step 3: Cross multiply
    181,526x = 253,902 × 253,902
  4. Step 4: Simplify right side
    181,526x = 64,466,225,604
  5. Step 5: Solve for x
    x = 64,466,225,604/181,526
  6. Step 6: Final answer
    x = 355,134.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.