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Finding the Third Proportional to 134,372.25 and 209,729.25

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Solution

The third proportional to 134,372.25 and 209,729.25 is: 327,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,372.25 : 209,729.25 = 209,729.25 : x
  2. Step 2: Convert to fraction form
    134,372.25/209,729.25 = 209,729.25/x
  3. Step 3: Cross multiply
    134,372.25x = 209,729.25 × 209,729.25
  4. Step 4: Simplify right side
    134,372.25x = 43,986,358,305.56
  5. Step 5: Solve for x
    x = 43,986,358,305.56/134,372.25
  6. Step 6: Final answer
    x = 327,347.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.