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Finding the Third Proportional to 230,369.06 and 343,776.66

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Solution

The third proportional to 230,369.06 and 343,776.66 is: 513,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,369.06 : 343,776.66 = 343,776.66 : x
  2. Step 2: Convert to fraction form
    230,369.06/343,776.66 = 343,776.66/x
  3. Step 3: Cross multiply
    230,369.06x = 343,776.66 × 343,776.66
  4. Step 4: Simplify right side
    230,369.06x = 118,182,389,382.43
  5. Step 5: Solve for x
    x = 118,182,389,382.43/230,369.06
  6. Step 6: Final answer
    x = 513,013.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.