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Finding the Third Proportional to 106,294 and 225,548

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Solution

The third proportional to 106,294 and 225,548 is: 478,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294 : 225,548 = 225,548 : x
  2. Step 2: Convert to fraction form
    106,294/225,548 = 225,548/x
  3. Step 3: Cross multiply
    106,294x = 225,548 × 225,548
  4. Step 4: Simplify right side
    106,294x = 50,871,900,304
  5. Step 5: Solve for x
    x = 50,871,900,304/106,294
  6. Step 6: Final answer
    x = 478,596.16

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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.