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Finding the Third Proportional to 219,474 and 348,255

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Solution

The third proportional to 219,474 and 348,255 is: 552,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,474 : 348,255 = 348,255 : x
  2. Step 2: Convert to fraction form
    219,474/348,255 = 348,255/x
  3. Step 3: Cross multiply
    219,474x = 348,255 × 348,255
  4. Step 4: Simplify right side
    219,474x = 121,281,545,025
  5. Step 5: Solve for x
    x = 121,281,545,025/219,474
  6. Step 6: Final answer
    x = 552,600.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.