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Finding the Third Proportional to 199,572 and 236,476.50

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Solution

The third proportional to 199,572 and 236,476.50 is: 280,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,572 : 236,476.50 = 236,476.50 : x
  2. Step 2: Convert to fraction form
    199,572/236,476.50 = 236,476.50/x
  3. Step 3: Cross multiply
    199,572x = 236,476.50 × 236,476.50
  4. Step 4: Simplify right side
    199,572x = 55,921,135,052.25
  5. Step 5: Solve for x
    x = 55,921,135,052.25/199,572
  6. Step 6: Final answer
    x = 280,205.31

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.