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Finding the Third Proportional to 136,508.06 and 299,260.13

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Solution

The third proportional to 136,508.06 and 299,260.13 is: 656,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508.06 : 299,260.13 = 299,260.13 : x
  2. Step 2: Convert to fraction form
    136,508.06/299,260.13 = 299,260.13/x
  3. Step 3: Cross multiply
    136,508.06x = 299,260.13 × 299,260.13
  4. Step 4: Simplify right side
    136,508.06x = 89,556,622,415.02
  5. Step 5: Solve for x
    x = 89,556,622,415.02/136,508.06
  6. Step 6: Final answer
    x = 656,053.72

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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.