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Finding the Third Proportional to 132,237 and 201,453

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Solution

The third proportional to 132,237 and 201,453 is: 306,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,237 : 201,453 = 201,453 : x
  2. Step 2: Convert to fraction form
    132,237/201,453 = 201,453/x
  3. Step 3: Cross multiply
    132,237x = 201,453 × 201,453
  4. Step 4: Simplify right side
    132,237x = 40,583,311,209
  5. Step 5: Solve for x
    x = 40,583,311,209/132,237
  6. Step 6: Final answer
    x = 306,898.31

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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.