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Finding the Third Proportional to 237,748 and 369,322

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Solution

The third proportional to 237,748 and 369,322 is: 573,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,748 : 369,322 = 369,322 : x
  2. Step 2: Convert to fraction form
    237,748/369,322 = 369,322/x
  3. Step 3: Cross multiply
    237,748x = 369,322 × 369,322
  4. Step 4: Simplify right side
    237,748x = 136,398,739,684
  5. Step 5: Solve for x
    x = 136,398,739,684/237,748
  6. Step 6: Final answer
    x = 573,711.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.