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Finding the Third Proportional to 137,551.50 and 301,345.50

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Solution

The third proportional to 137,551.50 and 301,345.50 is: 660,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,551.50 : 301,345.50 = 301,345.50 : x
  2. Step 2: Convert to fraction form
    137,551.50/301,345.50 = 301,345.50/x
  3. Step 3: Cross multiply
    137,551.50x = 301,345.50 × 301,345.50
  4. Step 4: Simplify right side
    137,551.50x = 90,809,110,370.25
  5. Step 5: Solve for x
    x = 90,809,110,370.25/137,551.50
  6. Step 6: Final answer
    x = 660,182.63

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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.