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Finding the Third Proportional to 157,446 and 246,276

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Solution

The third proportional to 157,446 and 246,276 is: 385,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,446 : 246,276 = 246,276 : x
  2. Step 2: Convert to fraction form
    157,446/246,276 = 246,276/x
  3. Step 3: Cross multiply
    157,446x = 246,276 × 246,276
  4. Step 4: Simplify right side
    157,446x = 60,651,868,176
  5. Step 5: Solve for x
    x = 60,651,868,176/157,446
  6. Step 6: Final answer
    x = 385,223.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.