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Finding the Third Proportional to 228,573 and 348,663

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Solution

The third proportional to 228,573 and 348,663 is: 531,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,573 : 348,663 = 348,663 : x
  2. Step 2: Convert to fraction form
    228,573/348,663 = 348,663/x
  3. Step 3: Cross multiply
    228,573x = 348,663 × 348,663
  4. Step 4: Simplify right side
    228,573x = 121,565,887,569
  5. Step 5: Solve for x
    x = 121,565,887,569/228,573
  6. Step 6: Final answer
    x = 531,847.10

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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.