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Finding the Third Proportional to 158,708 and 232,987

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Solution

The third proportional to 158,708 and 232,987 is: 342,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,708 : 232,987 = 232,987 : x
  2. Step 2: Convert to fraction form
    158,708/232,987 = 232,987/x
  3. Step 3: Cross multiply
    158,708x = 232,987 × 232,987
  4. Step 4: Simplify right side
    158,708x = 54,282,942,169
  5. Step 5: Solve for x
    x = 54,282,942,169/158,708
  6. Step 6: Final answer
    x = 342,030.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.