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Finding the Third Proportional to 194,044.13 and 417,597

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Solution

The third proportional to 194,044.13 and 417,597 is: 898,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,044.13 : 417,597 = 417,597 : x
  2. Step 2: Convert to fraction form
    194,044.13/417,597 = 417,597/x
  3. Step 3: Cross multiply
    194,044.13x = 417,597 × 417,597
  4. Step 4: Simplify right side
    194,044.13x = 174,387,254,409
  5. Step 5: Solve for x
    x = 174,387,254,409/194,044.13
  6. Step 6: Final answer
    x = 898,698.97

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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.