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Finding the Third Proportional to 137,111 and 305,730

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Solution

The third proportional to 137,111 and 305,730 is: 681,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,111 : 305,730 = 305,730 : x
  2. Step 2: Convert to fraction form
    137,111/305,730 = 305,730/x
  3. Step 3: Cross multiply
    137,111x = 305,730 × 305,730
  4. Step 4: Simplify right side
    137,111x = 93,470,832,900
  5. Step 5: Solve for x
    x = 93,470,832,900/137,111
  6. Step 6: Final answer
    x = 681,716.51

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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.