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Finding the Third Proportional to 109,388.25 and 235,847.25

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Solution

The third proportional to 109,388.25 and 235,847.25 is: 508,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,388.25 : 235,847.25 = 235,847.25 : x
  2. Step 2: Convert to fraction form
    109,388.25/235,847.25 = 235,847.25/x
  3. Step 3: Cross multiply
    109,388.25x = 235,847.25 × 235,847.25
  4. Step 4: Simplify right side
    109,388.25x = 55,623,925,332.56
  5. Step 5: Solve for x
    x = 55,623,925,332.56/109,388.25
  6. Step 6: Final answer
    x = 508,500.00

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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.