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Finding the Third Proportional to 131,818 and 287,693

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Solution

The third proportional to 131,818 and 287,693 is: 627,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,818 : 287,693 = 287,693 : x
  2. Step 2: Convert to fraction form
    131,818/287,693 = 287,693/x
  3. Step 3: Cross multiply
    131,818x = 287,693 × 287,693
  4. Step 4: Simplify right side
    131,818x = 82,767,262,249
  5. Step 5: Solve for x
    x = 82,767,262,249/131,818
  6. Step 6: Final answer
    x = 627,890.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.