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Finding the Third Proportional to 84,792 and 197,148

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Solution

The third proportional to 84,792 and 197,148 is: 458,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,792 : 197,148 = 197,148 : x
  2. Step 2: Convert to fraction form
    84,792/197,148 = 197,148/x
  3. Step 3: Cross multiply
    84,792x = 197,148 × 197,148
  4. Step 4: Simplify right side
    84,792x = 38,867,333,904
  5. Step 5: Solve for x
    x = 38,867,333,904/84,792
  6. Step 6: Final answer
    x = 458,384.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.