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Finding the Third Proportional to 140,697 and 201,546

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Solution

The third proportional to 140,697 and 201,546 is: 288,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,697 : 201,546 = 201,546 : x
  2. Step 2: Convert to fraction form
    140,697/201,546 = 201,546/x
  3. Step 3: Cross multiply
    140,697x = 201,546 × 201,546
  4. Step 4: Simplify right side
    140,697x = 40,620,790,116
  5. Step 5: Solve for x
    x = 40,620,790,116/140,697
  6. Step 6: Final answer
    x = 288,711.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.