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Finding the Third Proportional to 230,499 and 340,443

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Solution

The third proportional to 230,499 and 340,443 is: 502,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,499 : 340,443 = 340,443 : x
  2. Step 2: Convert to fraction form
    230,499/340,443 = 340,443/x
  3. Step 3: Cross multiply
    230,499x = 340,443 × 340,443
  4. Step 4: Simplify right side
    230,499x = 115,901,436,249
  5. Step 5: Solve for x
    x = 115,901,436,249/230,499
  6. Step 6: Final answer
    x = 502,828.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.