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Finding the Third Proportional to 103,945.50 and 242,509.50

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Solution

The third proportional to 103,945.50 and 242,509.50 is: 565,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,945.50 : 242,509.50 = 242,509.50 : x
  2. Step 2: Convert to fraction form
    103,945.50/242,509.50 = 242,509.50/x
  3. Step 3: Cross multiply
    103,945.50x = 242,509.50 × 242,509.50
  4. Step 4: Simplify right side
    103,945.50x = 58,810,857,590.25
  5. Step 5: Solve for x
    x = 58,810,857,590.25/103,945.50
  6. Step 6: Final answer
    x = 565,785.51

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.