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Finding the Third Proportional to 104,352 and 228,384

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Solution

The third proportional to 104,352 and 228,384 is: 499,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,352 : 228,384 = 228,384 : x
  2. Step 2: Convert to fraction form
    104,352/228,384 = 228,384/x
  3. Step 3: Cross multiply
    104,352x = 228,384 × 228,384
  4. Step 4: Simplify right side
    104,352x = 52,159,251,456
  5. Step 5: Solve for x
    x = 52,159,251,456/104,352
  6. Step 6: Final answer
    x = 499,839.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.