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Finding the Third Proportional to 132,438 and 201,714

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Solution

The third proportional to 132,438 and 201,714 is: 307,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438 : 201,714 = 201,714 : x
  2. Step 2: Convert to fraction form
    132,438/201,714 = 201,714/x
  3. Step 3: Cross multiply
    132,438x = 201,714 × 201,714
  4. Step 4: Simplify right side
    132,438x = 40,688,537,796
  5. Step 5: Solve for x
    x = 40,688,537,796/132,438
  6. Step 6: Final answer
    x = 307,227.06

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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.