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Finding the Third Proportional to 169,578 and 368,316

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Solution

The third proportional to 169,578 and 368,316 is: 799,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,578 : 368,316 = 368,316 : x
  2. Step 2: Convert to fraction form
    169,578/368,316 = 368,316/x
  3. Step 3: Cross multiply
    169,578x = 368,316 × 368,316
  4. Step 4: Simplify right side
    169,578x = 135,656,675,856
  5. Step 5: Solve for x
    x = 135,656,675,856/169,578
  6. Step 6: Final answer
    x = 799,966.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.