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Finding the Third Proportional to 153,333 and 329,994

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Solution

The third proportional to 153,333 and 329,994 is: 710,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,333 : 329,994 = 329,994 : x
  2. Step 2: Convert to fraction form
    153,333/329,994 = 329,994/x
  3. Step 3: Cross multiply
    153,333x = 329,994 × 329,994
  4. Step 4: Simplify right side
    153,333x = 108,896,040,036
  5. Step 5: Solve for x
    x = 108,896,040,036/153,333
  6. Step 6: Final answer
    x = 710,193.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.