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Finding the Third Proportional to 237,392 and 369,704

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Solution

The third proportional to 237,392 and 369,704 is: 575,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,392 : 369,704 = 369,704 : x
  2. Step 2: Convert to fraction form
    237,392/369,704 = 369,704/x
  3. Step 3: Cross multiply
    237,392x = 369,704 × 369,704
  4. Step 4: Simplify right side
    237,392x = 136,681,047,616
  5. Step 5: Solve for x
    x = 136,681,047,616/237,392
  6. Step 6: Final answer
    x = 575,760.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.