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Finding the Third Proportional to 201,732 and 296,757

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Solution

The third proportional to 201,732 and 296,757 is: 436,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732 : 296,757 = 296,757 : x
  2. Step 2: Convert to fraction form
    201,732/296,757 = 296,757/x
  3. Step 3: Cross multiply
    201,732x = 296,757 × 296,757
  4. Step 4: Simplify right side
    201,732x = 88,064,717,049
  5. Step 5: Solve for x
    x = 88,064,717,049/201,732
  6. Step 6: Final answer
    x = 436,543.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.