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Finding the Third Proportional to 157,693.50 and 244,856.25

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Solution

The third proportional to 157,693.50 and 244,856.25 is: 380,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,693.50 : 244,856.25 = 244,856.25 : x
  2. Step 2: Convert to fraction form
    157,693.50/244,856.25 = 244,856.25/x
  3. Step 3: Cross multiply
    157,693.50x = 244,856.25 × 244,856.25
  4. Step 4: Simplify right side
    157,693.50x = 59,954,583,164.06
  5. Step 5: Solve for x
    x = 59,954,583,164.06/157,693.50
  6. Step 6: Final answer
    x = 380,196.92

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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.