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Finding the Third Proportional to 157,504.50 and 237,066.75

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Solution

The third proportional to 157,504.50 and 237,066.75 is: 356,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,504.50 : 237,066.75 = 237,066.75 : x
  2. Step 2: Convert to fraction form
    157,504.50/237,066.75 = 237,066.75/x
  3. Step 3: Cross multiply
    157,504.50x = 237,066.75 × 237,066.75
  4. Step 4: Simplify right side
    157,504.50x = 56,200,643,955.56
  5. Step 5: Solve for x
    x = 56,200,643,955.56/157,504.50
  6. Step 6: Final answer
    x = 356,819.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.