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Finding the Third Proportional to 155,599 and 228,448

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Solution

The third proportional to 155,599 and 228,448 is: 335,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,599 : 228,448 = 228,448 : x
  2. Step 2: Convert to fraction form
    155,599/228,448 = 228,448/x
  3. Step 3: Cross multiply
    155,599x = 228,448 × 228,448
  4. Step 4: Simplify right side
    155,599x = 52,188,488,704
  5. Step 5: Solve for x
    x = 52,188,488,704/155,599
  6. Step 6: Final answer
    x = 335,403.75

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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.