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Finding the Third Proportional to 153,605.25 and 238,494.38

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Solution

The third proportional to 153,605.25 and 238,494.38 is: 370,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605.25 : 238,494.38 = 238,494.38 : x
  2. Step 2: Convert to fraction form
    153,605.25/238,494.38 = 238,494.38/x
  3. Step 3: Cross multiply
    153,605.25x = 238,494.38 × 238,494.38
  4. Step 4: Simplify right side
    153,605.25x = 56,879,566,906.64
  5. Step 5: Solve for x
    x = 56,879,566,906.64/153,605.25
  6. Step 6: Final answer
    x = 370,297.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.