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Finding the Third Proportional to 175,613 and 377,861

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Solution

The third proportional to 175,613 and 377,861 is: 813,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,613 : 377,861 = 377,861 : x
  2. Step 2: Convert to fraction form
    175,613/377,861 = 377,861/x
  3. Step 3: Cross multiply
    175,613x = 377,861 × 377,861
  4. Step 4: Simplify right side
    175,613x = 142,778,935,321
  5. Step 5: Solve for x
    x = 142,778,935,321/175,613
  6. Step 6: Final answer
    x = 813,031.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.