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Finding the Third Proportional to 148,899 and 233,068.50

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Solution

The third proportional to 148,899 and 233,068.50 is: 364,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,899 : 233,068.50 = 233,068.50 : x
  2. Step 2: Convert to fraction form
    148,899/233,068.50 = 233,068.50/x
  3. Step 3: Cross multiply
    148,899x = 233,068.50 × 233,068.50
  4. Step 4: Simplify right side
    148,899x = 54,320,925,692.25
  5. Step 5: Solve for x
    x = 54,320,925,692.25/148,899
  6. Step 6: Final answer
    x = 364,817.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.