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Finding the Third Proportional to 175,337.50 and 383,478

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Solution

The third proportional to 175,337.50 and 383,478 is: 838,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,337.50 : 383,478 = 383,478 : x
  2. Step 2: Convert to fraction form
    175,337.50/383,478 = 383,478/x
  3. Step 3: Cross multiply
    175,337.50x = 383,478 × 383,478
  4. Step 4: Simplify right side
    175,337.50x = 147,055,376,484
  5. Step 5: Solve for x
    x = 147,055,376,484/175,337.50
  6. Step 6: Final answer
    x = 838,698.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.