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Finding the Third Proportional to 127,602 and 298,039.50

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Solution

The third proportional to 127,602 and 298,039.50 is: 696,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,602 : 298,039.50 = 298,039.50 : x
  2. Step 2: Convert to fraction form
    127,602/298,039.50 = 298,039.50/x
  3. Step 3: Cross multiply
    127,602x = 298,039.50 × 298,039.50
  4. Step 4: Simplify right side
    127,602x = 88,827,543,560.25
  5. Step 5: Solve for x
    x = 88,827,543,560.25/127,602
  6. Step 6: Final answer
    x = 696,129.71

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.