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Finding the Third Proportional to 201,115.13 and 320,125.50

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Solution

The third proportional to 201,115.13 and 320,125.50 is: 509,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,115.13 : 320,125.50 = 320,125.50 : x
  2. Step 2: Convert to fraction form
    201,115.13/320,125.50 = 320,125.50/x
  3. Step 3: Cross multiply
    201,115.13x = 320,125.50 × 320,125.50
  4. Step 4: Simplify right side
    201,115.13x = 102,480,335,750.25
  5. Step 5: Solve for x
    x = 102,480,335,750.25/201,115.13
  6. Step 6: Final answer
    x = 509,560.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.