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Finding the Third Proportional to 107,232 and 225,392

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Solution

The third proportional to 107,232 and 225,392 is: 473,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,232 : 225,392 = 225,392 : x
  2. Step 2: Convert to fraction form
    107,232/225,392 = 225,392/x
  3. Step 3: Cross multiply
    107,232x = 225,392 × 225,392
  4. Step 4: Simplify right side
    107,232x = 50,801,553,664
  5. Step 5: Solve for x
    x = 50,801,553,664/107,232
  6. Step 6: Final answer
    x = 473,753.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.