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Finding the Third Proportional to 153,929 and 230,279

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Solution

The third proportional to 153,929 and 230,279 is: 344,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,929 : 230,279 = 230,279 : x
  2. Step 2: Convert to fraction form
    153,929/230,279 = 230,279/x
  3. Step 3: Cross multiply
    153,929x = 230,279 × 230,279
  4. Step 4: Simplify right side
    153,929x = 53,028,417,841
  5. Step 5: Solve for x
    x = 53,028,417,841/153,929
  6. Step 6: Final answer
    x = 344,499.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.