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Finding the Third Proportional to 137,548.25 and 301,340.50

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Solution

The third proportional to 137,548.25 and 301,340.50 is: 660,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,548.25 : 301,340.50 = 301,340.50 : x
  2. Step 2: Convert to fraction form
    137,548.25/301,340.50 = 301,340.50/x
  3. Step 3: Cross multiply
    137,548.25x = 301,340.50 × 301,340.50
  4. Step 4: Simplify right side
    137,548.25x = 90,806,096,940.25
  5. Step 5: Solve for x
    x = 90,806,096,940.25/137,548.25
  6. Step 6: Final answer
    x = 660,176.32

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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.