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Finding the Third Proportional to 84,955.50 and 198,416.25

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Solution

The third proportional to 84,955.50 and 198,416.25 is: 463,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,955.50 : 198,416.25 = 198,416.25 : x
  2. Step 2: Convert to fraction form
    84,955.50/198,416.25 = 198,416.25/x
  3. Step 3: Cross multiply
    84,955.50x = 198,416.25 × 198,416.25
  4. Step 4: Simplify right side
    84,955.50x = 39,369,008,264.06
  5. Step 5: Solve for x
    x = 39,369,008,264.06/84,955.50
  6. Step 6: Final answer
    x = 463,407.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.