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Finding the Third Proportional to 110,153 and 237,820

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Solution

The third proportional to 110,153 and 237,820 is: 513,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,153 : 237,820 = 237,820 : x
  2. Step 2: Convert to fraction form
    110,153/237,820 = 237,820/x
  3. Step 3: Cross multiply
    110,153x = 237,820 × 237,820
  4. Step 4: Simplify right side
    110,153x = 56,558,352,400
  5. Step 5: Solve for x
    x = 56,558,352,400/110,153
  6. Step 6: Final answer
    x = 513,452.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.