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Finding the Third Proportional to 158,874 and 232,964

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Solution

The third proportional to 158,874 and 232,964 is: 341,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,874 : 232,964 = 232,964 : x
  2. Step 2: Convert to fraction form
    158,874/232,964 = 232,964/x
  3. Step 3: Cross multiply
    158,874x = 232,964 × 232,964
  4. Step 4: Simplify right side
    158,874x = 54,272,225,296
  5. Step 5: Solve for x
    x = 54,272,225,296/158,874
  6. Step 6: Final answer
    x = 341,605.46

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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.