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Finding the Third Proportional to 232,110 and 368,901

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Solution

The third proportional to 232,110 and 368,901 is: 586,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,110 : 368,901 = 368,901 : x
  2. Step 2: Convert to fraction form
    232,110/368,901 = 368,901/x
  3. Step 3: Cross multiply
    232,110x = 368,901 × 368,901
  4. Step 4: Simplify right side
    232,110x = 136,087,947,801
  5. Step 5: Solve for x
    x = 136,087,947,801/232,110
  6. Step 6: Final answer
    x = 586,307.99

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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.