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Finding the Third Proportional to 132,851 and 287,409

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Solution

The third proportional to 132,851 and 287,409 is: 621,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,851 : 287,409 = 287,409 : x
  2. Step 2: Convert to fraction form
    132,851/287,409 = 287,409/x
  3. Step 3: Cross multiply
    132,851x = 287,409 × 287,409
  4. Step 4: Simplify right side
    132,851x = 82,603,933,281
  5. Step 5: Solve for x
    x = 82,603,933,281/132,851
  6. Step 6: Final answer
    x = 621,778.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.