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Finding the Third Proportional to 168,952 and 236,205.50

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Solution

The third proportional to 168,952 and 236,205.50 is: 330,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,952 : 236,205.50 = 236,205.50 : x
  2. Step 2: Convert to fraction form
    168,952/236,205.50 = 236,205.50/x
  3. Step 3: Cross multiply
    168,952x = 236,205.50 × 236,205.50
  4. Step 4: Simplify right side
    168,952x = 55,793,038,230.25
  5. Step 5: Solve for x
    x = 55,793,038,230.25/168,952
  6. Step 6: Final answer
    x = 330,230.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.