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Finding the Third Proportional to 136,432 and 287,003

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Solution

The third proportional to 136,432 and 287,003 is: 603,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,432 : 287,003 = 287,003 : x
  2. Step 2: Convert to fraction form
    136,432/287,003 = 287,003/x
  3. Step 3: Cross multiply
    136,432x = 287,003 × 287,003
  4. Step 4: Simplify right side
    136,432x = 82,370,722,009
  5. Step 5: Solve for x
    x = 82,370,722,009/136,432
  6. Step 6: Final answer
    x = 603,749.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.