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Finding the Third Proportional to 197,077.31 and 304,349.63

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Solution

The third proportional to 197,077.31 and 304,349.63 is: 470,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,077.31 : 304,349.63 = 304,349.63 : x
  2. Step 2: Convert to fraction form
    197,077.31/304,349.63 = 304,349.63/x
  3. Step 3: Cross multiply
    197,077.31x = 304,349.63 × 304,349.63
  4. Step 4: Simplify right side
    197,077.31x = 92,628,694,237.64
  5. Step 5: Solve for x
    x = 92,628,694,237.64/197,077.31
  6. Step 6: Final answer
    x = 470,011.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.