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Finding the Third Proportional to 134,308.13 and 209,638.13

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Solution

The third proportional to 134,308.13 and 209,638.13 is: 327,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,308.13 : 209,638.13 = 209,638.13 : x
  2. Step 2: Convert to fraction form
    134,308.13/209,638.13 = 209,638.13/x
  3. Step 3: Cross multiply
    134,308.13x = 209,638.13 × 209,638.13
  4. Step 4: Simplify right side
    134,308.13x = 43,948,143,453.52
  5. Step 5: Solve for x
    x = 43,948,143,453.52/134,308.13
  6. Step 6: Final answer
    x = 327,218.80

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