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Finding the Third Proportional to 191,707.07 and 415,151.26

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Solution

The third proportional to 191,707.07 and 415,151.26 is: 899,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,707.07 : 415,151.26 = 415,151.26 : x
  2. Step 2: Convert to fraction form
    191,707.07/415,151.26 = 415,151.26/x
  3. Step 3: Cross multiply
    191,707.07x = 415,151.26 × 415,151.26
  4. Step 4: Simplify right side
    191,707.07x = 172,350,570,106.67
  5. Step 5: Solve for x
    x = 172,350,570,106.67/191,707.07
  6. Step 6: Final answer
    x = 899,030.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.