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Finding the Third Proportional to 237,426 and 369,755

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Solution

The third proportional to 237,426 and 369,755 is: 575,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,426 : 369,755 = 369,755 : x
  2. Step 2: Convert to fraction form
    237,426/369,755 = 369,755/x
  3. Step 3: Cross multiply
    237,426x = 369,755 × 369,755
  4. Step 4: Simplify right side
    237,426x = 136,718,760,025
  5. Step 5: Solve for x
    x = 136,718,760,025/237,426
  6. Step 6: Final answer
    x = 575,837.36

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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.