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Finding the Third Proportional to 191,301.75 and 418,932

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Solution

The third proportional to 191,301.75 and 418,932 is: 917,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,301.75 : 418,932 = 418,932 : x
  2. Step 2: Convert to fraction form
    191,301.75/418,932 = 418,932/x
  3. Step 3: Cross multiply
    191,301.75x = 418,932 × 418,932
  4. Step 4: Simplify right side
    191,301.75x = 175,504,020,624
  5. Step 5: Solve for x
    x = 175,504,020,624/191,301.75
  6. Step 6: Final answer
    x = 917,419.84

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Why These Related Problems?

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