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Finding the Third Proportional to 109,595.25 and 236,259

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Solution

The third proportional to 109,595.25 and 236,259 is: 509,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,595.25 : 236,259 = 236,259 : x
  2. Step 2: Convert to fraction form
    109,595.25/236,259 = 236,259/x
  3. Step 3: Cross multiply
    109,595.25x = 236,259 × 236,259
  4. Step 4: Simplify right side
    109,595.25x = 55,818,315,081
  5. Step 5: Solve for x
    x = 55,818,315,081/109,595.25
  6. Step 6: Final answer
    x = 509,313.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.