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Finding the Third Proportional to 201,061.50 and 244,407

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Solution

The third proportional to 201,061.50 and 244,407 is: 297,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,061.50 : 244,407 = 244,407 : x
  2. Step 2: Convert to fraction form
    201,061.50/244,407 = 244,407/x
  3. Step 3: Cross multiply
    201,061.50x = 244,407 × 244,407
  4. Step 4: Simplify right side
    201,061.50x = 59,734,781,649
  5. Step 5: Solve for x
    x = 59,734,781,649/201,061.50
  6. Step 6: Final answer
    x = 297,097.07

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.