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Finding the Third Proportional to 191,656.13 and 416,869.03

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Solution

The third proportional to 191,656.13 and 416,869.03 is: 906,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,656.13 : 416,869.03 = 416,869.03 : x
  2. Step 2: Convert to fraction form
    191,656.13/416,869.03 = 416,869.03/x
  3. Step 3: Cross multiply
    191,656.13x = 416,869.03 × 416,869.03
  4. Step 4: Simplify right side
    191,656.13x = 173,779,789,215.31
  5. Step 5: Solve for x
    x = 173,779,789,215.31/191,656.13
  6. Step 6: Final answer
    x = 906,727.03

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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.