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Finding the Third Proportional to 116,004 and 253,314

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Solution

The third proportional to 116,004 and 253,314 is: 553,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,004 : 253,314 = 253,314 : x
  2. Step 2: Convert to fraction form
    116,004/253,314 = 253,314/x
  3. Step 3: Cross multiply
    116,004x = 253,314 × 253,314
  4. Step 4: Simplify right side
    116,004x = 64,167,982,596
  5. Step 5: Solve for x
    x = 64,167,982,596/116,004
  6. Step 6: Final answer
    x = 553,153.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.