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Finding the Third Proportional to 139,552 and 293,928

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Solution

The third proportional to 139,552 and 293,928 is: 619,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,552 : 293,928 = 293,928 : x
  2. Step 2: Convert to fraction form
    139,552/293,928 = 293,928/x
  3. Step 3: Cross multiply
    139,552x = 293,928 × 293,928
  4. Step 4: Simplify right side
    139,552x = 86,393,669,184
  5. Step 5: Solve for x
    x = 86,393,669,184/139,552
  6. Step 6: Final answer
    x = 619,078.69

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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.