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Finding the Third Proportional to 237,133 and 361,722

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Solution

The third proportional to 237,133 and 361,722 is: 551,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,133 : 361,722 = 361,722 : x
  2. Step 2: Convert to fraction form
    237,133/361,722 = 361,722/x
  3. Step 3: Cross multiply
    237,133x = 361,722 × 361,722
  4. Step 4: Simplify right side
    237,133x = 130,842,805,284
  5. Step 5: Solve for x
    x = 130,842,805,284/237,133
  6. Step 6: Final answer
    x = 551,769.70

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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.