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Finding the Third Proportional to 224,576 and 348,128

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Solution

The third proportional to 224,576 and 348,128 is: 539,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,576 : 348,128 = 348,128 : x
  2. Step 2: Convert to fraction form
    224,576/348,128 = 348,128/x
  3. Step 3: Cross multiply
    224,576x = 348,128 × 348,128
  4. Step 4: Simplify right side
    224,576x = 121,193,104,384
  5. Step 5: Solve for x
    x = 121,193,104,384/224,576
  6. Step 6: Final answer
    x = 539,652.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.