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Finding the Third Proportional to 157,176.75 and 235,775.25

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Solution

The third proportional to 157,176.75 and 235,775.25 is: 353,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,176.75 : 235,775.25 = 235,775.25 : x
  2. Step 2: Convert to fraction form
    157,176.75/235,775.25 = 235,775.25/x
  3. Step 3: Cross multiply
    157,176.75x = 235,775.25 × 235,775.25
  4. Step 4: Simplify right side
    157,176.75x = 55,589,968,512.56
  5. Step 5: Solve for x
    x = 55,589,968,512.56/157,176.75
  6. Step 6: Final answer
    x = 353,678.06

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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.