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Finding the Third Proportional to 131,486 and 287,852

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Solution

The third proportional to 131,486 and 287,852 is: 630,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,486 : 287,852 = 287,852 : x
  2. Step 2: Convert to fraction form
    131,486/287,852 = 287,852/x
  3. Step 3: Cross multiply
    131,486x = 287,852 × 287,852
  4. Step 4: Simplify right side
    131,486x = 82,858,773,904
  5. Step 5: Solve for x
    x = 82,858,773,904/131,486
  6. Step 6: Final answer
    x = 630,171.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.