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Finding the Third Proportional to 158,739.75 and 243,167.06

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Solution

The third proportional to 158,739.75 and 243,167.06 is: 372,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,739.75 : 243,167.06 = 243,167.06 : x
  2. Step 2: Convert to fraction form
    158,739.75/243,167.06 = 243,167.06/x
  3. Step 3: Cross multiply
    158,739.75x = 243,167.06 × 243,167.06
  4. Step 4: Simplify right side
    158,739.75x = 59,130,220,284.88
  5. Step 5: Solve for x
    x = 59,130,220,284.88/158,739.75
  6. Step 6: Final answer
    x = 372,497.88

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Why These Related Problems?

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