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Finding the Third Proportional to 109,266 and 235,140

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Solution

The third proportional to 109,266 and 235,140 is: 506,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,266 : 235,140 = 235,140 : x
  2. Step 2: Convert to fraction form
    109,266/235,140 = 235,140/x
  3. Step 3: Cross multiply
    109,266x = 235,140 × 235,140
  4. Step 4: Simplify right side
    109,266x = 55,290,819,600
  5. Step 5: Solve for x
    x = 55,290,819,600/109,266
  6. Step 6: Final answer
    x = 506,020.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.