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Finding the Third Proportional to 169,567 and 358,034

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Solution

The third proportional to 169,567 and 358,034 is: 755,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,567 : 358,034 = 358,034 : x
  2. Step 2: Convert to fraction form
    169,567/358,034 = 358,034/x
  3. Step 3: Cross multiply
    169,567x = 358,034 × 358,034
  4. Step 4: Simplify right side
    169,567x = 128,188,345,156
  5. Step 5: Solve for x
    x = 128,188,345,156/169,567
  6. Step 6: Final answer
    x = 755,974.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.