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Finding the Third Proportional to 110,290 and 233,580

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Solution

The third proportional to 110,290 and 233,580 is: 494,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,290 : 233,580 = 233,580 : x
  2. Step 2: Convert to fraction form
    110,290/233,580 = 233,580/x
  3. Step 3: Cross multiply
    110,290x = 233,580 × 233,580
  4. Step 4: Simplify right side
    110,290x = 54,559,616,400
  5. Step 5: Solve for x
    x = 54,559,616,400/110,290
  6. Step 6: Final answer
    x = 494,692.32

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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.