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Finding the Third Proportional to 110,851 and 242,405.50

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Solution

The third proportional to 110,851 and 242,405.50 is: 530,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,851 : 242,405.50 = 242,405.50 : x
  2. Step 2: Convert to fraction form
    110,851/242,405.50 = 242,405.50/x
  3. Step 3: Cross multiply
    110,851x = 242,405.50 × 242,405.50
  4. Step 4: Simplify right side
    110,851x = 58,760,426,430.25
  5. Step 5: Solve for x
    x = 58,760,426,430.25/110,851
  6. Step 6: Final answer
    x = 530,084.77

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