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Finding the Third Proportional to 145,937.25 and 320,607

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Solution

The third proportional to 145,937.25 and 320,607 is: 704,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,937.25 : 320,607 = 320,607 : x
  2. Step 2: Convert to fraction form
    145,937.25/320,607 = 320,607/x
  3. Step 3: Cross multiply
    145,937.25x = 320,607 × 320,607
  4. Step 4: Simplify right side
    145,937.25x = 102,788,848,449
  5. Step 5: Solve for x
    x = 102,788,848,449/145,937.25
  6. Step 6: Final answer
    x = 704,335.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.