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Finding the Third Proportional to 110,157 and 236,294

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Solution

The third proportional to 110,157 and 236,294 is: 506,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,157 : 236,294 = 236,294 : x
  2. Step 2: Convert to fraction form
    110,157/236,294 = 236,294/x
  3. Step 3: Cross multiply
    110,157x = 236,294 × 236,294
  4. Step 4: Simplify right side
    110,157x = 55,834,854,436
  5. Step 5: Solve for x
    x = 55,834,854,436/110,157
  6. Step 6: Final answer
    x = 506,866.15

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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.