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Finding the Third Proportional to 232,584 and 368,892

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Solution

The third proportional to 232,584 and 368,892 is: 585,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,584 : 368,892 = 368,892 : x
  2. Step 2: Convert to fraction form
    232,584/368,892 = 368,892/x
  3. Step 3: Cross multiply
    232,584x = 368,892 × 368,892
  4. Step 4: Simplify right side
    232,584x = 136,081,307,664
  5. Step 5: Solve for x
    x = 136,081,307,664/232,584
  6. Step 6: Final answer
    x = 585,084.56

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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.