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Finding the Third Proportional to 165,192 and 360,726

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Solution

The third proportional to 165,192 and 360,726 is: 787,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,192 : 360,726 = 360,726 : x
  2. Step 2: Convert to fraction form
    165,192/360,726 = 360,726/x
  3. Step 3: Cross multiply
    165,192x = 360,726 × 360,726
  4. Step 4: Simplify right side
    165,192x = 130,123,247,076
  5. Step 5: Solve for x
    x = 130,123,247,076/165,192
  6. Step 6: Final answer
    x = 787,709.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.