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Finding the Third Proportional to 240,772 and 322,113

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Solution

The third proportional to 240,772 and 322,113 is: 430,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,772 : 322,113 = 322,113 : x
  2. Step 2: Convert to fraction form
    240,772/322,113 = 322,113/x
  3. Step 3: Cross multiply
    240,772x = 322,113 × 322,113
  4. Step 4: Simplify right side
    240,772x = 103,756,784,769
  5. Step 5: Solve for x
    x = 103,756,784,769/240,772
  6. Step 6: Final answer
    x = 430,933.77

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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.