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Finding the Third Proportional to 220,866.75 and 350,298.42

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Solution

The third proportional to 220,866.75 and 350,298.42 is: 555,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,866.75 : 350,298.42 = 350,298.42 : x
  2. Step 2: Convert to fraction form
    220,866.75/350,298.42 = 350,298.42/x
  3. Step 3: Cross multiply
    220,866.75x = 350,298.42 × 350,298.42
  4. Step 4: Simplify right side
    220,866.75x = 122,708,984,368.12
  5. Step 5: Solve for x
    x = 122,708,984,368.12/220,866.75
  6. Step 6: Final answer
    x = 555,579.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.