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Finding the Third Proportional to 191,295 and 418,952.25

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Solution

The third proportional to 191,295 and 418,952.25 is: 917,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,295 : 418,952.25 = 418,952.25 : x
  2. Step 2: Convert to fraction form
    191,295/418,952.25 = 418,952.25/x
  3. Step 3: Cross multiply
    191,295x = 418,952.25 × 418,952.25
  4. Step 4: Simplify right side
    191,295x = 175,520,987,780.06
  5. Step 5: Solve for x
    x = 175,520,987,780.06/191,295
  6. Step 6: Final answer
    x = 917,540.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.