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Finding the Third Proportional to 158,660 and 233,602

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Solution

The third proportional to 158,660 and 233,602 is: 343,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,660 : 233,602 = 233,602 : x
  2. Step 2: Convert to fraction form
    158,660/233,602 = 233,602/x
  3. Step 3: Cross multiply
    158,660x = 233,602 × 233,602
  4. Step 4: Simplify right side
    158,660x = 54,569,894,404
  5. Step 5: Solve for x
    x = 54,569,894,404/158,660
  6. Step 6: Final answer
    x = 343,942.36

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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.