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Finding the Third Proportional to 148,907.25 and 321,142.50

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Solution

The third proportional to 148,907.25 and 321,142.50 is: 692,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,907.25 : 321,142.50 = 321,142.50 : x
  2. Step 2: Convert to fraction form
    148,907.25/321,142.50 = 321,142.50/x
  3. Step 3: Cross multiply
    148,907.25x = 321,142.50 × 321,142.50
  4. Step 4: Simplify right side
    148,907.25x = 103,132,505,306.25
  5. Step 5: Solve for x
    x = 103,132,505,306.25/148,907.25
  6. Step 6: Final answer
    x = 692,595.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.