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Finding the Third Proportional to 148,894 and 324,560

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Solution

The third proportional to 148,894 and 324,560 is: 707,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,894 : 324,560 = 324,560 : x
  2. Step 2: Convert to fraction form
    148,894/324,560 = 324,560/x
  3. Step 3: Cross multiply
    148,894x = 324,560 × 324,560
  4. Step 4: Simplify right side
    148,894x = 105,339,193,600
  5. Step 5: Solve for x
    x = 105,339,193,600/148,894
  6. Step 6: Final answer
    x = 707,477.76

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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.