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Finding the Third Proportional to 132,733.50 and 286,581

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Solution

The third proportional to 132,733.50 and 286,581 is: 618,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,733.50 : 286,581 = 286,581 : x
  2. Step 2: Convert to fraction form
    132,733.50/286,581 = 286,581/x
  3. Step 3: Cross multiply
    132,733.50x = 286,581 × 286,581
  4. Step 4: Simplify right side
    132,733.50x = 82,128,669,561
  5. Step 5: Solve for x
    x = 82,128,669,561/132,733.50
  6. Step 6: Final answer
    x = 618,748.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.