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Finding the Third Proportional to 136,536.75 and 299,319.75

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Solution

The third proportional to 136,536.75 and 299,319.75 is: 656,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,536.75 : 299,319.75 = 299,319.75 : x
  2. Step 2: Convert to fraction form
    136,536.75/299,319.75 = 299,319.75/x
  3. Step 3: Cross multiply
    136,536.75x = 299,319.75 × 299,319.75
  4. Step 4: Simplify right side
    136,536.75x = 89,592,312,740.06
  5. Step 5: Solve for x
    x = 89,592,312,740.06/136,536.75
  6. Step 6: Final answer
    x = 656,177.28

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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.