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Finding the Third Proportional to 199,446.75 and 432,123.75

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Solution

The third proportional to 199,446.75 and 432,123.75 is: 936,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,446.75 : 432,123.75 = 432,123.75 : x
  2. Step 2: Convert to fraction form
    199,446.75/432,123.75 = 432,123.75/x
  3. Step 3: Cross multiply
    199,446.75x = 432,123.75 × 432,123.75
  4. Step 4: Simplify right side
    199,446.75x = 186,730,935,314.06
  5. Step 5: Solve for x
    x = 186,730,935,314.06/199,446.75
  6. Step 6: Final answer
    x = 936,244.56

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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.