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Finding the Third Proportional to 137,554.50 and 290,039.81

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Solution

The third proportional to 137,554.50 and 290,039.81 is: 611,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,554.50 : 290,039.81 = 290,039.81 : x
  2. Step 2: Convert to fraction form
    137,554.50/290,039.81 = 290,039.81/x
  3. Step 3: Cross multiply
    137,554.50x = 290,039.81 × 290,039.81
  4. Step 4: Simplify right side
    137,554.50x = 84,123,092,835.04
  5. Step 5: Solve for x
    x = 84,123,092,835.04/137,554.50
  6. Step 6: Final answer
    x = 611,561.91

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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.