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Finding the Third Proportional to 152,696 and 230,718

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Solution

The third proportional to 152,696 and 230,718 is: 348,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,696 : 230,718 = 230,718 : x
  2. Step 2: Convert to fraction form
    152,696/230,718 = 230,718/x
  3. Step 3: Cross multiply
    152,696x = 230,718 × 230,718
  4. Step 4: Simplify right side
    152,696x = 53,230,795,524
  5. Step 5: Solve for x
    x = 53,230,795,524/152,696
  6. Step 6: Final answer
    x = 348,606.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.