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Finding the Third Proportional to 224,176 and 469,120

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Solution

The third proportional to 224,176 and 469,120 is: 981,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,176 : 469,120 = 469,120 : x
  2. Step 2: Convert to fraction form
    224,176/469,120 = 469,120/x
  3. Step 3: Cross multiply
    224,176x = 469,120 × 469,120
  4. Step 4: Simplify right side
    224,176x = 220,073,574,400
  5. Step 5: Solve for x
    x = 220,073,574,400/224,176
  6. Step 6: Final answer
    x = 981,699.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.