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Finding the Third Proportional to 109,643.63 and 240,227.44

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Solution

The third proportional to 109,643.63 and 240,227.44 is: 526,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.63 : 240,227.44 = 240,227.44 : x
  2. Step 2: Convert to fraction form
    109,643.63/240,227.44 = 240,227.44/x
  3. Step 3: Cross multiply
    109,643.63x = 240,227.44 × 240,227.44
  4. Step 4: Simplify right side
    109,643.63x = 57,709,221,727.82
  5. Step 5: Solve for x
    x = 57,709,221,727.82/109,643.63
  6. Step 6: Final answer
    x = 526,334.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.