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Finding the Third Proportional to 224,496 and 343,224

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Solution

The third proportional to 224,496 and 343,224 is: 524,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,496 : 343,224 = 343,224 : x
  2. Step 2: Convert to fraction form
    224,496/343,224 = 343,224/x
  3. Step 3: Cross multiply
    224,496x = 343,224 × 343,224
  4. Step 4: Simplify right side
    224,496x = 117,802,714,176
  5. Step 5: Solve for x
    x = 117,802,714,176/224,496
  6. Step 6: Final answer
    x = 524,743.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.