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Finding the Third Proportional to 155,549 and 228,352

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Solution

The third proportional to 155,549 and 228,352 is: 335,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,549 : 228,352 = 228,352 : x
  2. Step 2: Convert to fraction form
    155,549/228,352 = 228,352/x
  3. Step 3: Cross multiply
    155,549x = 228,352 × 228,352
  4. Step 4: Simplify right side
    155,549x = 52,144,635,904
  5. Step 5: Solve for x
    x = 52,144,635,904/155,549
  6. Step 6: Final answer
    x = 335,229.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.