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Finding the Third Proportional to 197,046 and 288,582

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Solution

The third proportional to 197,046 and 288,582 is: 422,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,046 : 288,582 = 288,582 : x
  2. Step 2: Convert to fraction form
    197,046/288,582 = 288,582/x
  3. Step 3: Cross multiply
    197,046x = 288,582 × 288,582
  4. Step 4: Simplify right side
    197,046x = 83,279,570,724
  5. Step 5: Solve for x
    x = 83,279,570,724/197,046
  6. Step 6: Final answer
    x = 422,640.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.