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Finding the Third Proportional to 148,294.13 and 349,916.63

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Solution

The third proportional to 148,294.13 and 349,916.63 is: 825,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,294.13 : 349,916.63 = 349,916.63 : x
  2. Step 2: Convert to fraction form
    148,294.13/349,916.63 = 349,916.63/x
  3. Step 3: Cross multiply
    148,294.13x = 349,916.63 × 349,916.63
  4. Step 4: Simplify right side
    148,294.13x = 122,441,644,451.39
  5. Step 5: Solve for x
    x = 122,441,644,451.39/148,294.13
  6. Step 6: Final answer
    x = 825,667.53

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.