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Finding the Third Proportional to 169,788 and 364,632

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Solution

The third proportional to 169,788 and 364,632 is: 783,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,788 : 364,632 = 364,632 : x
  2. Step 2: Convert to fraction form
    169,788/364,632 = 364,632/x
  3. Step 3: Cross multiply
    169,788x = 364,632 × 364,632
  4. Step 4: Simplify right side
    169,788x = 132,956,495,424
  5. Step 5: Solve for x
    x = 132,956,495,424/169,788
  6. Step 6: Final answer
    x = 783,073.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.