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Finding the Third Proportional to 157,533.50 and 239,213

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Solution

The third proportional to 157,533.50 and 239,213 is: 363,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,533.50 : 239,213 = 239,213 : x
  2. Step 2: Convert to fraction form
    157,533.50/239,213 = 239,213/x
  3. Step 3: Cross multiply
    157,533.50x = 239,213 × 239,213
  4. Step 4: Simplify right side
    157,533.50x = 57,222,859,369
  5. Step 5: Solve for x
    x = 57,222,859,369/157,533.50
  6. Step 6: Final answer
    x = 363,242.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.