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Finding the Third Proportional to 105,324 and 225,480

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Solution

The third proportional to 105,324 and 225,480 is: 482,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,324 : 225,480 = 225,480 : x
  2. Step 2: Convert to fraction form
    105,324/225,480 = 225,480/x
  3. Step 3: Cross multiply
    105,324x = 225,480 × 225,480
  4. Step 4: Simplify right side
    105,324x = 50,841,230,400
  5. Step 5: Solve for x
    x = 50,841,230,400/105,324
  6. Step 6: Final answer
    x = 482,712.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.