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Finding the Third Proportional to 132,219 and 201,429

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Solution

The third proportional to 132,219 and 201,429 is: 306,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,219 : 201,429 = 201,429 : x
  2. Step 2: Convert to fraction form
    132,219/201,429 = 201,429/x
  3. Step 3: Cross multiply
    132,219x = 201,429 × 201,429
  4. Step 4: Simplify right side
    132,219x = 40,573,642,041
  5. Step 5: Solve for x
    x = 40,573,642,041/132,219
  6. Step 6: Final answer
    x = 306,866.96

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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.