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Finding the Third Proportional to 213,333.75 and 319,393.13

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Solution

The third proportional to 213,333.75 and 319,393.13 is: 478,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,333.75 : 319,393.13 = 319,393.13 : x
  2. Step 2: Convert to fraction form
    213,333.75/319,393.13 = 319,393.13/x
  3. Step 3: Cross multiply
    213,333.75x = 319,393.13 × 319,393.13
  4. Step 4: Simplify right side
    213,333.75x = 102,011,968,297.27
  5. Step 5: Solve for x
    x = 102,011,968,297.27/213,333.75
  6. Step 6: Final answer
    x = 478,180.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.