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Finding the Third Proportional to 131,202 and 271,737

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Solution

The third proportional to 131,202 and 271,737 is: 562,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,202 : 271,737 = 271,737 : x
  2. Step 2: Convert to fraction form
    131,202/271,737 = 271,737/x
  3. Step 3: Cross multiply
    131,202x = 271,737 × 271,737
  4. Step 4: Simplify right side
    131,202x = 73,840,997,169
  5. Step 5: Solve for x
    x = 73,840,997,169/131,202
  6. Step 6: Final answer
    x = 562,803.90

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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.