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Finding the Third Proportional to 201,614 and 296,581

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Solution

The third proportional to 201,614 and 296,581 is: 436,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614 : 296,581 = 296,581 : x
  2. Step 2: Convert to fraction form
    201,614/296,581 = 296,581/x
  3. Step 3: Cross multiply
    201,614x = 296,581 × 296,581
  4. Step 4: Simplify right side
    201,614x = 87,960,289,561
  5. Step 5: Solve for x
    x = 87,960,289,561/201,614
  6. Step 6: Final answer
    x = 436,280.66

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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.