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Finding the Third Proportional to 113,308 and 166,663.50

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Solution

The third proportional to 113,308 and 166,663.50 is: 245,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,308 : 166,663.50 = 166,663.50 : x
  2. Step 2: Convert to fraction form
    113,308/166,663.50 = 166,663.50/x
  3. Step 3: Cross multiply
    113,308x = 166,663.50 × 166,663.50
  4. Step 4: Simplify right side
    113,308x = 27,776,722,232.25
  5. Step 5: Solve for x
    x = 27,776,722,232.25/113,308
  6. Step 6: Final answer
    x = 245,143.52

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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.