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Finding the Third Proportional to 131,297.50 and 286,358.50

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Solution

The third proportional to 131,297.50 and 286,358.50 is: 624,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,297.50 : 286,358.50 = 286,358.50 : x
  2. Step 2: Convert to fraction form
    131,297.50/286,358.50 = 286,358.50/x
  3. Step 3: Cross multiply
    131,297.50x = 286,358.50 × 286,358.50
  4. Step 4: Simplify right side
    131,297.50x = 82,001,190,522.25
  5. Step 5: Solve for x
    x = 82,001,190,522.25/131,297.50
  6. Step 6: Final answer
    x = 624,544.95

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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.