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Finding the Third Proportional to 156,672 and 369,774

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Solution

The third proportional to 156,672 and 369,774 is: 872,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,672 : 369,774 = 369,774 : x
  2. Step 2: Convert to fraction form
    156,672/369,774 = 369,774/x
  3. Step 3: Cross multiply
    156,672x = 369,774 × 369,774
  4. Step 4: Simplify right side
    156,672x = 136,732,811,076
  5. Step 5: Solve for x
    x = 136,732,811,076/156,672
  6. Step 6: Final answer
    x = 872,732.91

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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.