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Finding the Third Proportional to 157,666.50 and 244,791

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Solution

The third proportional to 157,666.50 and 244,791 is: 380,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,666.50 : 244,791 = 244,791 : x
  2. Step 2: Convert to fraction form
    157,666.50/244,791 = 244,791/x
  3. Step 3: Cross multiply
    157,666.50x = 244,791 × 244,791
  4. Step 4: Simplify right side
    157,666.50x = 59,922,633,681
  5. Step 5: Solve for x
    x = 59,922,633,681/157,666.50
  6. Step 6: Final answer
    x = 380,059.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.