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Finding the Third Proportional to 224,354 and 486,160

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Solution

The third proportional to 224,354 and 486,160 is: 1,053,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,354 : 486,160 = 486,160 : x
  2. Step 2: Convert to fraction form
    224,354/486,160 = 486,160/x
  3. Step 3: Cross multiply
    224,354x = 486,160 × 486,160
  4. Step 4: Simplify right side
    224,354x = 236,351,545,600
  5. Step 5: Solve for x
    x = 236,351,545,600/224,354
  6. Step 6: Final answer
    x = 1,053,475.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.