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Finding the Third Proportional to 191,306.25 and 417,057.75

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Solution

The third proportional to 191,306.25 and 417,057.75 is: 909,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,306.25 : 417,057.75 = 417,057.75 : x
  2. Step 2: Convert to fraction form
    191,306.25/417,057.75 = 417,057.75/x
  3. Step 3: Cross multiply
    191,306.25x = 417,057.75 × 417,057.75
  4. Step 4: Simplify right side
    191,306.25x = 173,937,166,835.06
  5. Step 5: Solve for x
    x = 173,937,166,835.06/191,306.25
  6. Step 6: Final answer
    x = 909,207.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.