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Finding the Third Proportional to 139,137 and 300,507

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Solution

The third proportional to 139,137 and 300,507 is: 649,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,137 : 300,507 = 300,507 : x
  2. Step 2: Convert to fraction form
    139,137/300,507 = 300,507/x
  3. Step 3: Cross multiply
    139,137x = 300,507 × 300,507
  4. Step 4: Simplify right side
    139,137x = 90,304,457,049
  5. Step 5: Solve for x
    x = 90,304,457,049/139,137
  6. Step 6: Final answer
    x = 649,032.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.