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Finding the Third Proportional to 131,076.75 and 286,682.25

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Solution

The third proportional to 131,076.75 and 286,682.25 is: 627,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,076.75 : 286,682.25 = 286,682.25 : x
  2. Step 2: Convert to fraction form
    131,076.75/286,682.25 = 286,682.25/x
  3. Step 3: Cross multiply
    131,076.75x = 286,682.25 × 286,682.25
  4. Step 4: Simplify right side
    131,076.75x = 82,186,712,465.06
  5. Step 5: Solve for x
    x = 82,186,712,465.06/131,076.75
  6. Step 6: Final answer
    x = 627,012.13

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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.