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Finding the Third Proportional to 158,205 and 244,291.50

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Solution

The third proportional to 158,205 and 244,291.50 is: 377,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,205 : 244,291.50 = 244,291.50 : x
  2. Step 2: Convert to fraction form
    158,205/244,291.50 = 244,291.50/x
  3. Step 3: Cross multiply
    158,205x = 244,291.50 × 244,291.50
  4. Step 4: Simplify right side
    158,205x = 59,678,336,972.25
  5. Step 5: Solve for x
    x = 59,678,336,972.25/158,205
  6. Step 6: Final answer
    x = 377,221.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.