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Finding the Third Proportional to 129,825 and 287,829

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Solution

The third proportional to 129,825 and 287,829 is: 638,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,825 : 287,829 = 287,829 : x
  2. Step 2: Convert to fraction form
    129,825/287,829 = 287,829/x
  3. Step 3: Cross multiply
    129,825x = 287,829 × 287,829
  4. Step 4: Simplify right side
    129,825x = 82,845,533,241
  5. Step 5: Solve for x
    x = 82,845,533,241/129,825
  6. Step 6: Final answer
    x = 638,132.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.