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Finding the Third Proportional to 169,804 and 358,192

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Solution

The third proportional to 169,804 and 358,192 is: 755,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,804 : 358,192 = 358,192 : x
  2. Step 2: Convert to fraction form
    169,804/358,192 = 358,192/x
  3. Step 3: Cross multiply
    169,804x = 358,192 × 358,192
  4. Step 4: Simplify right side
    169,804x = 128,301,508,864
  5. Step 5: Solve for x
    x = 128,301,508,864/169,804
  6. Step 6: Final answer
    x = 755,585.90

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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.