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Finding the Third Proportional to 237,113 and 421,595

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Solution

The third proportional to 237,113 and 421,595 is: 749,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,113 : 421,595 = 421,595 : x
  2. Step 2: Convert to fraction form
    237,113/421,595 = 421,595/x
  3. Step 3: Cross multiply
    237,113x = 421,595 × 421,595
  4. Step 4: Simplify right side
    237,113x = 177,742,344,025
  5. Step 5: Solve for x
    x = 177,742,344,025/237,113
  6. Step 6: Final answer
    x = 749,610.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.