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Finding the Third Proportional to 132,886.50 and 201,789

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Solution

The third proportional to 132,886.50 and 201,789 is: 306,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,886.50 : 201,789 = 201,789 : x
  2. Step 2: Convert to fraction form
    132,886.50/201,789 = 201,789/x
  3. Step 3: Cross multiply
    132,886.50x = 201,789 × 201,789
  4. Step 4: Simplify right side
    132,886.50x = 40,718,800,521
  5. Step 5: Solve for x
    x = 40,718,800,521/132,886.50
  6. Step 6: Final answer
    x = 306,417.89

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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.