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Finding the Third Proportional to 134,767.50 and 285,964.50

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Solution

The third proportional to 134,767.50 and 285,964.50 is: 606,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,767.50 : 285,964.50 = 285,964.50 : x
  2. Step 2: Convert to fraction form
    134,767.50/285,964.50 = 285,964.50/x
  3. Step 3: Cross multiply
    134,767.50x = 285,964.50 × 285,964.50
  4. Step 4: Simplify right side
    134,767.50x = 81,775,695,260.25
  5. Step 5: Solve for x
    x = 81,775,695,260.25/134,767.50
  6. Step 6: Final answer
    x = 606,790.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.