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Finding the Third Proportional to 110,773 and 242,991

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Solution

The third proportional to 110,773 and 242,991 is: 533,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,773 : 242,991 = 242,991 : x
  2. Step 2: Convert to fraction form
    110,773/242,991 = 242,991/x
  3. Step 3: Cross multiply
    110,773x = 242,991 × 242,991
  4. Step 4: Simplify right side
    110,773x = 59,044,626,081
  5. Step 5: Solve for x
    x = 59,044,626,081/110,773
  6. Step 6: Final answer
    x = 533,023.63

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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.