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Finding the Third Proportional to 156,732 and 369,924

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Solution

The third proportional to 156,732 and 369,924 is: 873,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,732 : 369,924 = 369,924 : x
  2. Step 2: Convert to fraction form
    156,732/369,924 = 369,924/x
  3. Step 3: Cross multiply
    156,732x = 369,924 × 369,924
  4. Step 4: Simplify right side
    156,732x = 136,843,765,776
  5. Step 5: Solve for x
    x = 136,843,765,776/156,732
  6. Step 6: Final answer
    x = 873,106.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.