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Finding the Third Proportional to 232,587 and 368,896.50

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Solution

The third proportional to 232,587 and 368,896.50 is: 585,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,587 : 368,896.50 = 368,896.50 : x
  2. Step 2: Convert to fraction form
    232,587/368,896.50 = 368,896.50/x
  3. Step 3: Cross multiply
    232,587x = 368,896.50 × 368,896.50
  4. Step 4: Simplify right side
    232,587x = 136,084,627,712.25
  5. Step 5: Solve for x
    x = 136,084,627,712.25/232,587
  6. Step 6: Final answer
    x = 585,091.29

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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.