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Finding the Third Proportional to 84,495 and 183,588

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Solution

The third proportional to 84,495 and 183,588 is: 398,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,495 : 183,588 = 183,588 : x
  2. Step 2: Convert to fraction form
    84,495/183,588 = 183,588/x
  3. Step 3: Cross multiply
    84,495x = 183,588 × 183,588
  4. Step 4: Simplify right side
    84,495x = 33,704,553,744
  5. Step 5: Solve for x
    x = 33,704,553,744/84,495
  6. Step 6: Final answer
    x = 398,894.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.