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Finding the Third Proportional to 157,342.50 and 241,299

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Solution

The third proportional to 157,342.50 and 241,299 is: 370,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,342.50 : 241,299 = 241,299 : x
  2. Step 2: Convert to fraction form
    157,342.50/241,299 = 241,299/x
  3. Step 3: Cross multiply
    157,342.50x = 241,299 × 241,299
  4. Step 4: Simplify right side
    157,342.50x = 58,225,207,401
  5. Step 5: Solve for x
    x = 58,225,207,401/157,342.50
  6. Step 6: Final answer
    x = 370,053.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.