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Finding the Third Proportional to 157,953.80 and 254,455.17

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Solution

The third proportional to 157,953.80 and 254,455.17 is: 409,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,953.80 : 254,455.17 = 254,455.17 : x
  2. Step 2: Convert to fraction form
    157,953.80/254,455.17 = 254,455.17/x
  3. Step 3: Cross multiply
    157,953.80x = 254,455.17 × 254,455.17
  4. Step 4: Simplify right side
    157,953.80x = 64,747,434,493.94
  5. Step 5: Solve for x
    x = 64,747,434,493.94/157,953.80
  6. Step 6: Final answer
    x = 409,913.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.