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Finding the Third Proportional to 109,434 and 235,216

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Solution

The third proportional to 109,434 and 235,216 is: 505,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,434 : 235,216 = 235,216 : x
  2. Step 2: Convert to fraction form
    109,434/235,216 = 235,216/x
  3. Step 3: Cross multiply
    109,434x = 235,216 × 235,216
  4. Step 4: Simplify right side
    109,434x = 55,326,566,656
  5. Step 5: Solve for x
    x = 55,326,566,656/109,434
  6. Step 6: Final answer
    x = 505,570.18

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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.