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Finding the Third Proportional to 152,698 and 230,721

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Solution

The third proportional to 152,698 and 230,721 is: 348,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,698 : 230,721 = 230,721 : x
  2. Step 2: Convert to fraction form
    152,698/230,721 = 230,721/x
  3. Step 3: Cross multiply
    152,698x = 230,721 × 230,721
  4. Step 4: Simplify right side
    152,698x = 53,232,179,841
  5. Step 5: Solve for x
    x = 53,232,179,841/152,698
  6. Step 6: Final answer
    x = 348,610.85

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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.