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Finding the Third Proportional to 131,288.50 and 286,341

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Solution

The third proportional to 131,288.50 and 286,341 is: 624,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,288.50 : 286,341 = 286,341 : x
  2. Step 2: Convert to fraction form
    131,288.50/286,341 = 286,341/x
  3. Step 3: Cross multiply
    131,288.50x = 286,341 × 286,341
  4. Step 4: Simplify right side
    131,288.50x = 81,991,168,281
  5. Step 5: Solve for x
    x = 81,991,168,281/131,288.50
  6. Step 6: Final answer
    x = 624,511.43

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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.