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Finding the Third Proportional to 175,263.75 and 382,983.19

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Solution

The third proportional to 175,263.75 and 382,983.19 is: 836,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,263.75 : 382,983.19 = 382,983.19 : x
  2. Step 2: Convert to fraction form
    175,263.75/382,983.19 = 382,983.19/x
  3. Step 3: Cross multiply
    175,263.75x = 382,983.19 × 382,983.19
  4. Step 4: Simplify right side
    175,263.75x = 146,676,121,907.66
  5. Step 5: Solve for x
    x = 146,676,121,907.66/175,263.75
  6. Step 6: Final answer
    x = 836,887.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.