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Finding the Third Proportional to 193,402.69 and 415,373.06

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Solution

The third proportional to 193,402.69 and 415,373.06 is: 892,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,402.69 : 415,373.06 = 415,373.06 : x
  2. Step 2: Convert to fraction form
    193,402.69/415,373.06 = 415,373.06/x
  3. Step 3: Cross multiply
    193,402.69x = 415,373.06 × 415,373.06
  4. Step 4: Simplify right side
    193,402.69x = 172,534,781,050.63
  5. Step 5: Solve for x
    x = 172,534,781,050.63/193,402.69
  6. Step 6: Final answer
    x = 892,101.26

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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.