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Finding the Third Proportional to 175,347 and 383,850

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Solution

The third proportional to 175,347 and 383,850 is: 840,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,347 : 383,850 = 383,850 : x
  2. Step 2: Convert to fraction form
    175,347/383,850 = 383,850/x
  3. Step 3: Cross multiply
    175,347x = 383,850 × 383,850
  4. Step 4: Simplify right side
    175,347x = 147,340,822,500
  5. Step 5: Solve for x
    x = 147,340,822,500/175,347
  6. Step 6: Final answer
    x = 840,281.40

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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.