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Finding the Third Proportional to 152,394.50 and 237,317.25

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Solution

The third proportional to 152,394.50 and 237,317.25 is: 369,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,394.50 : 237,317.25 = 237,317.25 : x
  2. Step 2: Convert to fraction form
    152,394.50/237,317.25 = 237,317.25/x
  3. Step 3: Cross multiply
    152,394.50x = 237,317.25 × 237,317.25
  4. Step 4: Simplify right side
    152,394.50x = 56,319,477,147.56
  5. Step 5: Solve for x
    x = 56,319,477,147.56/152,394.50
  6. Step 6: Final answer
    x = 369,563.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.