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Finding the Third Proportional to 122,593.13 and 264,539.06

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Solution

The third proportional to 122,593.13 and 264,539.06 is: 570,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,593.13 : 264,539.06 = 264,539.06 : x
  2. Step 2: Convert to fraction form
    122,593.13/264,539.06 = 264,539.06/x
  3. Step 3: Cross multiply
    122,593.13x = 264,539.06 × 264,539.06
  4. Step 4: Simplify right side
    122,593.13x = 69,980,915,588.38
  5. Step 5: Solve for x
    x = 69,980,915,588.38/122,593.13
  6. Step 6: Final answer
    x = 570,838.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.