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Finding the Third Proportional to 134,078 and 213,418.50

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Solution

The third proportional to 134,078 and 213,418.50 is: 339,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,078 : 213,418.50 = 213,418.50 : x
  2. Step 2: Convert to fraction form
    134,078/213,418.50 = 213,418.50/x
  3. Step 3: Cross multiply
    134,078x = 213,418.50 × 213,418.50
  4. Step 4: Simplify right side
    134,078x = 45,547,456,142.25
  5. Step 5: Solve for x
    x = 45,547,456,142.25/134,078
  6. Step 6: Final answer
    x = 339,708.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.