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Finding the Third Proportional to 137,312 and 300,868

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Solution

The third proportional to 137,312 and 300,868 is: 659,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,312 : 300,868 = 300,868 : x
  2. Step 2: Convert to fraction form
    137,312/300,868 = 300,868/x
  3. Step 3: Cross multiply
    137,312x = 300,868 × 300,868
  4. Step 4: Simplify right side
    137,312x = 90,521,553,424
  5. Step 5: Solve for x
    x = 90,521,553,424/137,312
  6. Step 6: Final answer
    x = 659,239.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.