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Finding the Third Proportional to 169,491 and 364,928

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Solution

The third proportional to 169,491 and 364,928 is: 785,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,491 : 364,928 = 364,928 : x
  2. Step 2: Convert to fraction form
    169,491/364,928 = 364,928/x
  3. Step 3: Cross multiply
    169,491x = 364,928 × 364,928
  4. Step 4: Simplify right side
    169,491x = 133,172,445,184
  5. Step 5: Solve for x
    x = 133,172,445,184/169,491
  6. Step 6: Final answer
    x = 785,719.86

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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.