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Finding the Third Proportional to 133,807.50 and 197,015

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Solution

The third proportional to 133,807.50 and 197,015 is: 290,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,807.50 : 197,015 = 197,015 : x
  2. Step 2: Convert to fraction form
    133,807.50/197,015 = 197,015/x
  3. Step 3: Cross multiply
    133,807.50x = 197,015 × 197,015
  4. Step 4: Simplify right side
    133,807.50x = 38,814,910,225
  5. Step 5: Solve for x
    x = 38,814,910,225/133,807.50
  6. Step 6: Final answer
    x = 290,080.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.