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Finding the Third Proportional to 148,902 and 324,566

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Solution

The third proportional to 148,902 and 324,566 is: 707,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,902 : 324,566 = 324,566 : x
  2. Step 2: Convert to fraction form
    148,902/324,566 = 324,566/x
  3. Step 3: Cross multiply
    148,902x = 324,566 × 324,566
  4. Step 4: Simplify right side
    148,902x = 105,343,088,356
  5. Step 5: Solve for x
    x = 105,343,088,356/148,902
  6. Step 6: Final answer
    x = 707,465.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.