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Finding the Third Proportional to 175,350 and 383,511

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Solution

The third proportional to 175,350 and 383,511 is: 838,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,350 : 383,511 = 383,511 : x
  2. Step 2: Convert to fraction form
    175,350/383,511 = 383,511/x
  3. Step 3: Cross multiply
    175,350x = 383,511 × 383,511
  4. Step 4: Simplify right side
    175,350x = 147,080,687,121
  5. Step 5: Solve for x
    x = 147,080,687,121/175,350
  6. Step 6: Final answer
    x = 838,783.50

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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.