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Finding the Third Proportional to 131,197.50 and 271,731

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Solution

The third proportional to 131,197.50 and 271,731 is: 562,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,197.50 : 271,731 = 271,731 : x
  2. Step 2: Convert to fraction form
    131,197.50/271,731 = 271,731/x
  3. Step 3: Cross multiply
    131,197.50x = 271,731 × 271,731
  4. Step 4: Simplify right side
    131,197.50x = 73,837,736,361
  5. Step 5: Solve for x
    x = 73,837,736,361/131,197.50
  6. Step 6: Final answer
    x = 562,798.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.