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Finding the Third Proportional to 158,875 and 232,966

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Solution

The third proportional to 158,875 and 232,966 is: 341,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,875 : 232,966 = 232,966 : x
  2. Step 2: Convert to fraction form
    158,875/232,966 = 232,966/x
  3. Step 3: Cross multiply
    158,875x = 232,966 × 232,966
  4. Step 4: Simplify right side
    158,875x = 54,273,157,156
  5. Step 5: Solve for x
    x = 54,273,157,156/158,875
  6. Step 6: Final answer
    x = 341,609.17

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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.