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Finding the Third Proportional to 107,352 and 227,664

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Solution

The third proportional to 107,352 and 227,664 is: 482,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,352 : 227,664 = 227,664 : x
  2. Step 2: Convert to fraction form
    107,352/227,664 = 227,664/x
  3. Step 3: Cross multiply
    107,352x = 227,664 × 227,664
  4. Step 4: Simplify right side
    107,352x = 51,830,896,896
  5. Step 5: Solve for x
    x = 51,830,896,896/107,352
  6. Step 6: Final answer
    x = 482,812.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.