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Finding the Third Proportional to 137,502 and 306,090

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Solution

The third proportional to 137,502 and 306,090 is: 681,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,502 : 306,090 = 306,090 : x
  2. Step 2: Convert to fraction form
    137,502/306,090 = 306,090/x
  3. Step 3: Cross multiply
    137,502x = 306,090 × 306,090
  4. Step 4: Simplify right side
    137,502x = 93,691,088,100
  5. Step 5: Solve for x
    x = 93,691,088,100/137,502
  6. Step 6: Final answer
    x = 681,379.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.