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Finding the Third Proportional to 144,498.94 and 230,126.06

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Solution

The third proportional to 144,498.94 and 230,126.06 is: 366,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,498.94 : 230,126.06 = 230,126.06 : x
  2. Step 2: Convert to fraction form
    144,498.94/230,126.06 = 230,126.06/x
  3. Step 3: Cross multiply
    144,498.94x = 230,126.06 × 230,126.06
  4. Step 4: Simplify right side
    144,498.94x = 52,958,004,641.75
  5. Step 5: Solve for x
    x = 52,958,004,641.75/144,498.94
  6. Step 6: Final answer
    x = 366,494.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.