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Finding the Third Proportional to 166,273.50 and 243,514.50

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Solution

The third proportional to 166,273.50 and 243,514.50 is: 356,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,273.50 : 243,514.50 = 243,514.50 : x
  2. Step 2: Convert to fraction form
    166,273.50/243,514.50 = 243,514.50/x
  3. Step 3: Cross multiply
    166,273.50x = 243,514.50 × 243,514.50
  4. Step 4: Simplify right side
    166,273.50x = 59,299,311,710.25
  5. Step 5: Solve for x
    x = 59,299,311,710.25/166,273.50
  6. Step 6: Final answer
    x = 356,637.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.