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Finding the Third Proportional to 136,752 and 287,325

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Solution

The third proportional to 136,752 and 287,325 is: 603,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,752 : 287,325 = 287,325 : x
  2. Step 2: Convert to fraction form
    136,752/287,325 = 287,325/x
  3. Step 3: Cross multiply
    136,752x = 287,325 × 287,325
  4. Step 4: Simplify right side
    136,752x = 82,555,655,625
  5. Step 5: Solve for x
    x = 82,555,655,625/136,752
  6. Step 6: Final answer
    x = 603,688.84

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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.