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Finding the Third Proportional to 158,631 and 233,560

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Solution

The third proportional to 158,631 and 233,560 is: 343,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,631 : 233,560 = 233,560 : x
  2. Step 2: Convert to fraction form
    158,631/233,560 = 233,560/x
  3. Step 3: Cross multiply
    158,631x = 233,560 × 233,560
  4. Step 4: Simplify right side
    158,631x = 54,550,273,600
  5. Step 5: Solve for x
    x = 54,550,273,600/158,631
  6. Step 6: Final answer
    x = 343,881.55

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