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Finding the Third Proportional to 166,590 and 243,634.50

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Solution

The third proportional to 166,590 and 243,634.50 is: 356,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,590 : 243,634.50 = 243,634.50 : x
  2. Step 2: Convert to fraction form
    166,590/243,634.50 = 243,634.50/x
  3. Step 3: Cross multiply
    166,590x = 243,634.50 × 243,634.50
  4. Step 4: Simplify right side
    166,590x = 59,357,769,590.25
  5. Step 5: Solve for x
    x = 59,357,769,590.25/166,590
  6. Step 6: Final answer
    x = 356,310.52

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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.