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Finding the Third Proportional to 224,448 and 344,968

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Solution

The third proportional to 224,448 and 344,968 is: 530,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,448 : 344,968 = 344,968 : x
  2. Step 2: Convert to fraction form
    224,448/344,968 = 344,968/x
  3. Step 3: Cross multiply
    224,448x = 344,968 × 344,968
  4. Step 4: Simplify right side
    224,448x = 119,002,921,024
  5. Step 5: Solve for x
    x = 119,002,921,024/224,448
  6. Step 6: Final answer
    x = 530,202.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.