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Finding the Third Proportional to 137,804 and 297,640

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Solution

The third proportional to 137,804 and 297,640 is: 642,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,804 : 297,640 = 297,640 : x
  2. Step 2: Convert to fraction form
    137,804/297,640 = 297,640/x
  3. Step 3: Cross multiply
    137,804x = 297,640 × 297,640
  4. Step 4: Simplify right side
    137,804x = 88,589,569,600
  5. Step 5: Solve for x
    x = 88,589,569,600/137,804
  6. Step 6: Final answer
    x = 642,866.46

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