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Finding the Third Proportional to 166,790 and 245,773.50

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Solution

The third proportional to 166,790 and 245,773.50 is: 362,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,790 : 245,773.50 = 245,773.50 : x
  2. Step 2: Convert to fraction form
    166,790/245,773.50 = 245,773.50/x
  3. Step 3: Cross multiply
    166,790x = 245,773.50 × 245,773.50
  4. Step 4: Simplify right side
    166,790x = 60,404,613,302.25
  5. Step 5: Solve for x
    x = 60,404,613,302.25/166,790
  6. Step 6: Final answer
    x = 362,159.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.