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Finding the Third Proportional to 237,260 and 369,502

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Solution

The third proportional to 237,260 and 369,502 is: 575,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,260 : 369,502 = 369,502 : x
  2. Step 2: Convert to fraction form
    237,260/369,502 = 369,502/x
  3. Step 3: Cross multiply
    237,260x = 369,502 × 369,502
  4. Step 4: Simplify right side
    237,260x = 136,531,728,004
  5. Step 5: Solve for x
    x = 136,531,728,004/237,260
  6. Step 6: Final answer
    x = 575,451.94

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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.