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Finding the Third Proportional to 110,673 and 242,122.50

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Solution

The third proportional to 110,673 and 242,122.50 is: 529,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,673 : 242,122.50 = 242,122.50 : x
  2. Step 2: Convert to fraction form
    110,673/242,122.50 = 242,122.50/x
  3. Step 3: Cross multiply
    110,673x = 242,122.50 × 242,122.50
  4. Step 4: Simplify right side
    110,673x = 58,623,305,006.25
  5. Step 5: Solve for x
    x = 58,623,305,006.25/110,673
  6. Step 6: Final answer
    x = 529,698.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.