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Finding the Third Proportional to 83,152 and 183,804

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Solution

The third proportional to 83,152 and 183,804 is: 406,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152 : 183,804 = 183,804 : x
  2. Step 2: Convert to fraction form
    83,152/183,804 = 183,804/x
  3. Step 3: Cross multiply
    83,152x = 183,804 × 183,804
  4. Step 4: Simplify right side
    83,152x = 33,783,910,416
  5. Step 5: Solve for x
    x = 33,783,910,416/83,152
  6. Step 6: Final answer
    x = 406,291.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.