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Finding the Third Proportional to 197,160 and 446,973

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Solution

The third proportional to 197,160 and 446,973 is: 1,013,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,160 : 446,973 = 446,973 : x
  2. Step 2: Convert to fraction form
    197,160/446,973 = 446,973/x
  3. Step 3: Cross multiply
    197,160x = 446,973 × 446,973
  4. Step 4: Simplify right side
    197,160x = 199,784,862,729
  5. Step 5: Solve for x
    x = 199,784,862,729/197,160
  6. Step 6: Final answer
    x = 1,013,313.36

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.