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Finding the Third Proportional to 175,350 and 383,502

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Solution

The third proportional to 175,350 and 383,502 is: 838,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,350 : 383,502 = 383,502 : x
  2. Step 2: Convert to fraction form
    175,350/383,502 = 383,502/x
  3. Step 3: Cross multiply
    175,350x = 383,502 × 383,502
  4. Step 4: Simplify right side
    175,350x = 147,073,784,004
  5. Step 5: Solve for x
    x = 147,073,784,004/175,350
  6. Step 6: Final answer
    x = 838,744.13

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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.