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Finding the Third Proportional to 148,386 and 349,932

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Solution

The third proportional to 148,386 and 349,932 is: 825,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,386 : 349,932 = 349,932 : x
  2. Step 2: Convert to fraction form
    148,386/349,932 = 349,932/x
  3. Step 3: Cross multiply
    148,386x = 349,932 × 349,932
  4. Step 4: Simplify right side
    148,386x = 122,452,404,624
  5. Step 5: Solve for x
    x = 122,452,404,624/148,386
  6. Step 6: Final answer
    x = 825,228.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.