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Finding the Third Proportional to 137,088 and 300,906

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Solution

The third proportional to 137,088 and 300,906 is: 660,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,088 : 300,906 = 300,906 : x
  2. Step 2: Convert to fraction form
    137,088/300,906 = 300,906/x
  3. Step 3: Cross multiply
    137,088x = 300,906 × 300,906
  4. Step 4: Simplify right side
    137,088x = 90,544,420,836
  5. Step 5: Solve for x
    x = 90,544,420,836/137,088
  6. Step 6: Final answer
    x = 660,483.93

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Why These Related Problems?

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