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Finding the Third Proportional to 201,321.50 and 438,068.50

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Solution

The third proportional to 201,321.50 and 438,068.50 is: 953,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,321.50 : 438,068.50 = 438,068.50 : x
  2. Step 2: Convert to fraction form
    201,321.50/438,068.50 = 438,068.50/x
  3. Step 3: Cross multiply
    201,321.50x = 438,068.50 × 438,068.50
  4. Step 4: Simplify right side
    201,321.50x = 191,904,010,692.25
  5. Step 5: Solve for x
    x = 191,904,010,692.25/201,321.50
  6. Step 6: Final answer
    x = 953,221.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.