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Finding the Third Proportional to 131,184 and 287,586

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Solution

The third proportional to 131,184 and 287,586 is: 630,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 287,586 = 287,586 : x
  2. Step 2: Convert to fraction form
    131,184/287,586 = 287,586/x
  3. Step 3: Cross multiply
    131,184x = 287,586 × 287,586
  4. Step 4: Simplify right side
    131,184x = 82,705,707,396
  5. Step 5: Solve for x
    x = 82,705,707,396/131,184
  6. Step 6: Final answer
    x = 630,455.75

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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.