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Finding the Third Proportional to 115,393.50 and 242,449.50

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Solution

The third proportional to 115,393.50 and 242,449.50 is: 509,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,393.50 : 242,449.50 = 242,449.50 : x
  2. Step 2: Convert to fraction form
    115,393.50/242,449.50 = 242,449.50/x
  3. Step 3: Cross multiply
    115,393.50x = 242,449.50 × 242,449.50
  4. Step 4: Simplify right side
    115,393.50x = 58,781,760,050.25
  5. Step 5: Solve for x
    x = 58,781,760,050.25/115,393.50
  6. Step 6: Final answer
    x = 509,402.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.