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Finding the Third Proportional to 137,536.31 and 291,632.06

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Solution

The third proportional to 137,536.31 and 291,632.06 is: 618,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,536.31 : 291,632.06 = 291,632.06 : x
  2. Step 2: Convert to fraction form
    137,536.31/291,632.06 = 291,632.06/x
  3. Step 3: Cross multiply
    137,536.31x = 291,632.06 × 291,632.06
  4. Step 4: Simplify right side
    137,536.31x = 85,049,259,878.00
  5. Step 5: Solve for x
    x = 85,049,259,878.00/137,536.31
  6. Step 6: Final answer
    x = 618,376.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.