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Finding the Third Proportional to 156,924 and 336,312

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Solution

The third proportional to 156,924 and 336,312 is: 720,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,924 : 336,312 = 336,312 : x
  2. Step 2: Convert to fraction form
    156,924/336,312 = 336,312/x
  3. Step 3: Cross multiply
    156,924x = 336,312 × 336,312
  4. Step 4: Simplify right side
    156,924x = 113,105,761,344
  5. Step 5: Solve for x
    x = 113,105,761,344/156,924
  6. Step 6: Final answer
    x = 720,767.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.