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Finding the Third Proportional to 157,963 and 228,624

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Solution

The third proportional to 157,963 and 228,624 is: 330,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,963 : 228,624 = 228,624 : x
  2. Step 2: Convert to fraction form
    157,963/228,624 = 228,624/x
  3. Step 3: Cross multiply
    157,963x = 228,624 × 228,624
  4. Step 4: Simplify right side
    157,963x = 52,268,933,376
  5. Step 5: Solve for x
    x = 52,268,933,376/157,963
  6. Step 6: Final answer
    x = 330,893.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.