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Finding the Third Proportional to 158,871 and 232,960

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Solution

The third proportional to 158,871 and 232,960 is: 341,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,871 : 232,960 = 232,960 : x
  2. Step 2: Convert to fraction form
    158,871/232,960 = 232,960/x
  3. Step 3: Cross multiply
    158,871x = 232,960 × 232,960
  4. Step 4: Simplify right side
    158,871x = 54,270,361,600
  5. Step 5: Solve for x
    x = 54,270,361,600/158,871
  6. Step 6: Final answer
    x = 341,600.18

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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.