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Finding the Third Proportional to 148,915 and 324,605

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Solution

The third proportional to 148,915 and 324,605 is: 707,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,915 : 324,605 = 324,605 : x
  2. Step 2: Convert to fraction form
    148,915/324,605 = 324,605/x
  3. Step 3: Cross multiply
    148,915x = 324,605 × 324,605
  4. Step 4: Simplify right side
    148,915x = 105,368,406,025
  5. Step 5: Solve for x
    x = 105,368,406,025/148,915
  6. Step 6: Final answer
    x = 707,574.16

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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.