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Finding the Third Proportional to 84,313 and 183,498

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Solution

The third proportional to 84,313 and 183,498 is: 399,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,313 : 183,498 = 183,498 : x
  2. Step 2: Convert to fraction form
    84,313/183,498 = 183,498/x
  3. Step 3: Cross multiply
    84,313x = 183,498 × 183,498
  4. Step 4: Simplify right side
    84,313x = 33,671,516,004
  5. Step 5: Solve for x
    x = 33,671,516,004/84,313
  6. Step 6: Final answer
    x = 399,363.28

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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.