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Finding the Third Proportional to 111,706.50 and 243,069

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Solution

The third proportional to 111,706.50 and 243,069 is: 528,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,706.50 : 243,069 = 243,069 : x
  2. Step 2: Convert to fraction form
    111,706.50/243,069 = 243,069/x
  3. Step 3: Cross multiply
    111,706.50x = 243,069 × 243,069
  4. Step 4: Simplify right side
    111,706.50x = 59,082,538,761
  5. Step 5: Solve for x
    x = 59,082,538,761/111,706.50
  6. Step 6: Final answer
    x = 528,908.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.