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Finding the Third Proportional to 220,784 and 350,177

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Solution

The third proportional to 220,784 and 350,177 is: 555,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,784 : 350,177 = 350,177 : x
  2. Step 2: Convert to fraction form
    220,784/350,177 = 350,177/x
  3. Step 3: Cross multiply
    220,784x = 350,177 × 350,177
  4. Step 4: Simplify right side
    220,784x = 122,623,931,329
  5. Step 5: Solve for x
    x = 122,623,931,329/220,784
  6. Step 6: Final answer
    x = 555,402.25

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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.