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Finding the Third Proportional to 138,490.50 and 302,602.50

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Solution

The third proportional to 138,490.50 and 302,602.50 is: 661,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,490.50 : 302,602.50 = 302,602.50 : x
  2. Step 2: Convert to fraction form
    138,490.50/302,602.50 = 302,602.50/x
  3. Step 3: Cross multiply
    138,490.50x = 302,602.50 × 302,602.50
  4. Step 4: Simplify right side
    138,490.50x = 91,568,273,006.25
  5. Step 5: Solve for x
    x = 91,568,273,006.25/138,490.50
  6. Step 6: Final answer
    x = 661,188.12

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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.