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Finding the Third Proportional to 147,828.94 and 318,826.13

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Solution

The third proportional to 147,828.94 and 318,826.13 is: 687,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,828.94 : 318,826.13 = 318,826.13 : x
  2. Step 2: Convert to fraction form
    147,828.94/318,826.13 = 318,826.13/x
  3. Step 3: Cross multiply
    147,828.94x = 318,826.13 × 318,826.13
  4. Step 4: Simplify right side
    147,828.94x = 101,650,097,982.52
  5. Step 5: Solve for x
    x = 101,650,097,982.52/147,828.94
  6. Step 6: Final answer
    x = 687,619.76

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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.