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Finding the Third Proportional to 84,964 and 197,498

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Solution

The third proportional to 84,964 and 197,498 is: 459,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,964 : 197,498 = 197,498 : x
  2. Step 2: Convert to fraction form
    84,964/197,498 = 197,498/x
  3. Step 3: Cross multiply
    84,964x = 197,498 × 197,498
  4. Step 4: Simplify right side
    84,964x = 39,005,460,004
  5. Step 5: Solve for x
    x = 39,005,460,004/84,964
  6. Step 6: Final answer
    x = 459,082.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.