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Finding the Third Proportional to 157,980 and 244,606.50

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Solution

The third proportional to 157,980 and 244,606.50 is: 378,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980 : 244,606.50 = 244,606.50 : x
  2. Step 2: Convert to fraction form
    157,980/244,606.50 = 244,606.50/x
  3. Step 3: Cross multiply
    157,980x = 244,606.50 × 244,606.50
  4. Step 4: Simplify right side
    157,980x = 59,832,339,842.25
  5. Step 5: Solve for x
    x = 59,832,339,842.25/157,980
  6. Step 6: Final answer
    x = 378,733.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.