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Finding the Third Proportional to 197,140 and 304,973

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Solution

The third proportional to 197,140 and 304,973 is: 471,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,140 : 304,973 = 304,973 : x
  2. Step 2: Convert to fraction form
    197,140/304,973 = 304,973/x
  3. Step 3: Cross multiply
    197,140x = 304,973 × 304,973
  4. Step 4: Simplify right side
    197,140x = 93,008,530,729
  5. Step 5: Solve for x
    x = 93,008,530,729/197,140
  6. Step 6: Final answer
    x = 471,789.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.