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Finding the Third Proportional to 131,181.75 and 282,429

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Solution

The third proportional to 131,181.75 and 282,429 is: 608,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,181.75 : 282,429 = 282,429 : x
  2. Step 2: Convert to fraction form
    131,181.75/282,429 = 282,429/x
  3. Step 3: Cross multiply
    131,181.75x = 282,429 × 282,429
  4. Step 4: Simplify right side
    131,181.75x = 79,766,140,041
  5. Step 5: Solve for x
    x = 79,766,140,041/131,181.75
  6. Step 6: Final answer
    x = 608,058.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.