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Finding the Third Proportional to 157,369.50 and 235,993.50

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Solution

The third proportional to 157,369.50 and 235,993.50 is: 353,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,369.50 : 235,993.50 = 235,993.50 : x
  2. Step 2: Convert to fraction form
    157,369.50/235,993.50 = 235,993.50/x
  3. Step 3: Cross multiply
    157,369.50x = 235,993.50 × 235,993.50
  4. Step 4: Simplify right side
    157,369.50x = 55,692,932,042.25
  5. Step 5: Solve for x
    x = 55,692,932,042.25/157,369.50
  6. Step 6: Final answer
    x = 353,899.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.