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Finding the Third Proportional to 187,692.75 and 290,871

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Solution

The third proportional to 187,692.75 and 290,871 is: 450,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,692.75 : 290,871 = 290,871 : x
  2. Step 2: Convert to fraction form
    187,692.75/290,871 = 290,871/x
  3. Step 3: Cross multiply
    187,692.75x = 290,871 × 290,871
  4. Step 4: Simplify right side
    187,692.75x = 84,605,938,641
  5. Step 5: Solve for x
    x = 84,605,938,641/187,692.75
  6. Step 6: Final answer
    x = 450,768.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.