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Finding the Third Proportional to 110,182.50 and 236,349

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Solution

The third proportional to 110,182.50 and 236,349 is: 506,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,182.50 : 236,349 = 236,349 : x
  2. Step 2: Convert to fraction form
    110,182.50/236,349 = 236,349/x
  3. Step 3: Cross multiply
    110,182.50x = 236,349 × 236,349
  4. Step 4: Simplify right side
    110,182.50x = 55,860,849,801
  5. Step 5: Solve for x
    x = 55,860,849,801/110,182.50
  6. Step 6: Final answer
    x = 506,984.77

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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.