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Finding the Third Proportional to 137,659.50 and 290,871

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Solution

The third proportional to 137,659.50 and 290,871 is: 614,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,659.50 : 290,871 = 290,871 : x
  2. Step 2: Convert to fraction form
    137,659.50/290,871 = 290,871/x
  3. Step 3: Cross multiply
    137,659.50x = 290,871 × 290,871
  4. Step 4: Simplify right side
    137,659.50x = 84,605,938,641
  5. Step 5: Solve for x
    x = 84,605,938,641/137,659.50
  6. Step 6: Final answer
    x = 614,602.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.