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Finding the Third Proportional to 191,565 and 410,635.13

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Solution

The third proportional to 191,565 and 410,635.13 is: 880,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,565 : 410,635.13 = 410,635.13 : x
  2. Step 2: Convert to fraction form
    191,565/410,635.13 = 410,635.13/x
  3. Step 3: Cross multiply
    191,565x = 410,635.13 × 410,635.13
  4. Step 4: Simplify right side
    191,565x = 168,621,205,883.77
  5. Step 5: Solve for x
    x = 168,621,205,883.77/191,565
  6. Step 6: Final answer
    x = 880,229.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.