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Finding the Third Proportional to 232,602 and 368,922

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Solution

The third proportional to 232,602 and 368,922 is: 585,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,602 : 368,922 = 368,922 : x
  2. Step 2: Convert to fraction form
    232,602/368,922 = 368,922/x
  3. Step 3: Cross multiply
    232,602x = 368,922 × 368,922
  4. Step 4: Simplify right side
    232,602x = 136,103,442,084
  5. Step 5: Solve for x
    x = 136,103,442,084/232,602
  6. Step 6: Final answer
    x = 585,134.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.