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Finding the Third Proportional to 174,148.31 and 265,726.69

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Solution

The third proportional to 174,148.31 and 265,726.69 is: 405,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,148.31 : 265,726.69 = 265,726.69 : x
  2. Step 2: Convert to fraction form
    174,148.31/265,726.69 = 265,726.69/x
  3. Step 3: Cross multiply
    174,148.31x = 265,726.69 × 265,726.69
  4. Step 4: Simplify right side
    174,148.31x = 70,610,672,449.72
  5. Step 5: Solve for x
    x = 70,610,672,449.72/174,148.31
  6. Step 6: Final answer
    x = 405,462.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.