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Finding the Third Proportional to 157,900.50 and 204,853.50

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Solution

The third proportional to 157,900.50 and 204,853.50 is: 265,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,900.50 : 204,853.50 = 204,853.50 : x
  2. Step 2: Convert to fraction form
    157,900.50/204,853.50 = 204,853.50/x
  3. Step 3: Cross multiply
    157,900.50x = 204,853.50 × 204,853.50
  4. Step 4: Simplify right side
    157,900.50x = 41,964,956,462.25
  5. Step 5: Solve for x
    x = 41,964,956,462.25/157,900.50
  6. Step 6: Final answer
    x = 265,768.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.