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Finding the Third Proportional to 238,249.50 and 370,442.25

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Solution

The third proportional to 238,249.50 and 370,442.25 is: 575,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,249.50 : 370,442.25 = 370,442.25 : x
  2. Step 2: Convert to fraction form
    238,249.50/370,442.25 = 370,442.25/x
  3. Step 3: Cross multiply
    238,249.50x = 370,442.25 × 370,442.25
  4. Step 4: Simplify right side
    238,249.50x = 137,227,460,585.06
  5. Step 5: Solve for x
    x = 137,227,460,585.06/238,249.50
  6. Step 6: Final answer
    x = 575,982.16

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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.