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Finding the Third Proportional to 116,964 and 248,508

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Solution

The third proportional to 116,964 and 248,508 is: 527,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,964 : 248,508 = 248,508 : x
  2. Step 2: Convert to fraction form
    116,964/248,508 = 248,508/x
  3. Step 3: Cross multiply
    116,964x = 248,508 × 248,508
  4. Step 4: Simplify right side
    116,964x = 61,756,226,064
  5. Step 5: Solve for x
    x = 61,756,226,064/116,964
  6. Step 6: Final answer
    x = 527,993.45

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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.