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Finding the Third Proportional to 197,088 and 417,792

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Solution

The third proportional to 197,088 and 417,792 is: 885,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,088 : 417,792 = 417,792 : x
  2. Step 2: Convert to fraction form
    197,088/417,792 = 417,792/x
  3. Step 3: Cross multiply
    197,088x = 417,792 × 417,792
  4. Step 4: Simplify right side
    197,088x = 174,550,155,264
  5. Step 5: Solve for x
    x = 174,550,155,264/197,088
  6. Step 6: Final answer
    x = 885,645.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.