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Finding the Third Proportional to 229,440.75 and 322,527

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Solution

The third proportional to 229,440.75 and 322,527 is: 453,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,440.75 : 322,527 = 322,527 : x
  2. Step 2: Convert to fraction form
    229,440.75/322,527 = 322,527/x
  3. Step 3: Cross multiply
    229,440.75x = 322,527 × 322,527
  4. Step 4: Simplify right side
    229,440.75x = 104,023,665,729
  5. Step 5: Solve for x
    x = 104,023,665,729/229,440.75
  6. Step 6: Final answer
    x = 453,379.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.