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Finding the Third Proportional to 240,768 and 322,108

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Solution

The third proportional to 240,768 and 322,108 is: 430,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,768 : 322,108 = 322,108 : x
  2. Step 2: Convert to fraction form
    240,768/322,108 = 322,108/x
  3. Step 3: Cross multiply
    240,768x = 322,108 × 322,108
  4. Step 4: Simplify right side
    240,768x = 103,753,563,664
  5. Step 5: Solve for x
    x = 103,753,563,664/240,768
  6. Step 6: Final answer
    x = 430,927.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.