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Finding the Third Proportional to 132,240.75 and 201,459

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Solution

The third proportional to 132,240.75 and 201,459 is: 306,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,240.75 : 201,459 = 201,459 : x
  2. Step 2: Convert to fraction form
    132,240.75/201,459 = 201,459/x
  3. Step 3: Cross multiply
    132,240.75x = 201,459 × 201,459
  4. Step 4: Simplify right side
    132,240.75x = 40,585,728,681
  5. Step 5: Solve for x
    x = 40,585,728,681/132,240.75
  6. Step 6: Final answer
    x = 306,907.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.