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Finding the Third Proportional to 158,095.50 and 342,643.50

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Solution

The third proportional to 158,095.50 and 342,643.50 is: 742,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,095.50 : 342,643.50 = 342,643.50 : x
  2. Step 2: Convert to fraction form
    158,095.50/342,643.50 = 342,643.50/x
  3. Step 3: Cross multiply
    158,095.50x = 342,643.50 × 342,643.50
  4. Step 4: Simplify right side
    158,095.50x = 117,404,568,092.25
  5. Step 5: Solve for x
    x = 117,404,568,092.25/158,095.50
  6. Step 6: Final answer
    x = 742,618.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.