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Finding the Third Proportional to 237,126 and 361,710

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Solution

The third proportional to 237,126 and 361,710 is: 551,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,126 : 361,710 = 361,710 : x
  2. Step 2: Convert to fraction form
    237,126/361,710 = 361,710/x
  3. Step 3: Cross multiply
    237,126x = 361,710 × 361,710
  4. Step 4: Simplify right side
    237,126x = 130,834,124,100
  5. Step 5: Solve for x
    x = 130,834,124,100/237,126
  6. Step 6: Final answer
    x = 551,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.