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Finding the Third Proportional to 109,967.23 and 240,953.37

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Solution

The third proportional to 109,967.23 and 240,953.37 is: 527,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,967.23 : 240,953.37 = 240,953.37 : x
  2. Step 2: Convert to fraction form
    109,967.23/240,953.37 = 240,953.37/x
  3. Step 3: Cross multiply
    109,967.23x = 240,953.37 × 240,953.37
  4. Step 4: Simplify right side
    109,967.23x = 58,058,524,453.08
  5. Step 5: Solve for x
    x = 58,058,524,453.08/109,967.23
  6. Step 6: Final answer
    x = 527,962.05

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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.