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Finding the Third Proportional to 169,117 and 364,396

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Solution

The third proportional to 169,117 and 364,396 is: 785,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,117 : 364,396 = 364,396 : x
  2. Step 2: Convert to fraction form
    169,117/364,396 = 364,396/x
  3. Step 3: Cross multiply
    169,117x = 364,396 × 364,396
  4. Step 4: Simplify right side
    169,117x = 132,784,444,816
  5. Step 5: Solve for x
    x = 132,784,444,816/169,117
  6. Step 6: Final answer
    x = 785,163.20

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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.