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Finding the Third Proportional to 134,993 and 214,545.50

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Solution

The third proportional to 134,993 and 214,545.50 is: 340,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,993 : 214,545.50 = 214,545.50 : x
  2. Step 2: Convert to fraction form
    134,993/214,545.50 = 214,545.50/x
  3. Step 3: Cross multiply
    134,993x = 214,545.50 × 214,545.50
  4. Step 4: Simplify right side
    134,993x = 46,029,771,570.25
  5. Step 5: Solve for x
    x = 46,029,771,570.25/134,993
  6. Step 6: Final answer
    x = 340,978.95

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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.