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Finding the Third Proportional to 106,288 and 224,572

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Solution

The third proportional to 106,288 and 224,572 is: 474,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,288 : 224,572 = 224,572 : x
  2. Step 2: Convert to fraction form
    106,288/224,572 = 224,572/x
  3. Step 3: Cross multiply
    106,288x = 224,572 × 224,572
  4. Step 4: Simplify right side
    106,288x = 50,432,583,184
  5. Step 5: Solve for x
    x = 50,432,583,184/106,288
  6. Step 6: Final answer
    x = 474,489.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.