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Finding the Third Proportional to 139,376 and 296,731

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Solution

The third proportional to 139,376 and 296,731 is: 631,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,376 : 296,731 = 296,731 : x
  2. Step 2: Convert to fraction form
    139,376/296,731 = 296,731/x
  3. Step 3: Cross multiply
    139,376x = 296,731 × 296,731
  4. Step 4: Simplify right side
    139,376x = 88,049,286,361
  5. Step 5: Solve for x
    x = 88,049,286,361/139,376
  6. Step 6: Final answer
    x = 631,739.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.