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Finding the Third Proportional to 110,889 and 237,330

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Solution

The third proportional to 110,889 and 237,330 is: 507,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,889 : 237,330 = 237,330 : x
  2. Step 2: Convert to fraction form
    110,889/237,330 = 237,330/x
  3. Step 3: Cross multiply
    110,889x = 237,330 × 237,330
  4. Step 4: Simplify right side
    110,889x = 56,325,528,900
  5. Step 5: Solve for x
    x = 56,325,528,900/110,889
  6. Step 6: Final answer
    x = 507,945.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.