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Finding the Third Proportional to 98,418 and 236,203.50

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Solution

The third proportional to 98,418 and 236,203.50 is: 566,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,418 : 236,203.50 = 236,203.50 : x
  2. Step 2: Convert to fraction form
    98,418/236,203.50 = 236,203.50/x
  3. Step 3: Cross multiply
    98,418x = 236,203.50 × 236,203.50
  4. Step 4: Simplify right side
    98,418x = 55,792,093,412.25
  5. Step 5: Solve for x
    x = 55,792,093,412.25/98,418
  6. Step 6: Final answer
    x = 566,889.12

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.