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Finding the Third Proportional to 77,493.94 and 164,287.50

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Solution

The third proportional to 77,493.94 and 164,287.50 is: 348,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,493.94 : 164,287.50 = 164,287.50 : x
  2. Step 2: Convert to fraction form
    77,493.94/164,287.50 = 164,287.50/x
  3. Step 3: Cross multiply
    77,493.94x = 164,287.50 × 164,287.50
  4. Step 4: Simplify right side
    77,493.94x = 26,990,382,656.25
  5. Step 5: Solve for x
    x = 26,990,382,656.25/77,493.94
  6. Step 6: Final answer
    x = 348,290.25

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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.