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Finding the Third Proportional to 144,404.95 and 322,013.30

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Solution

The third proportional to 144,404.95 and 322,013.30 is: 718,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,404.95 : 322,013.30 = 322,013.30 : x
  2. Step 2: Convert to fraction form
    144,404.95/322,013.30 = 322,013.30/x
  3. Step 3: Cross multiply
    144,404.95x = 322,013.30 × 322,013.30
  4. Step 4: Simplify right side
    144,404.95x = 103,692,563,364.31
  5. Step 5: Solve for x
    x = 103,692,563,364.31/144,404.95
  6. Step 6: Final answer
    x = 718,067.91

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.