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Finding the Third Proportional to 163,184 and 237,674

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Solution

The third proportional to 163,184 and 237,674 is: 346,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,184 : 237,674 = 237,674 : x
  2. Step 2: Convert to fraction form
    163,184/237,674 = 237,674/x
  3. Step 3: Cross multiply
    163,184x = 237,674 × 237,674
  4. Step 4: Simplify right side
    163,184x = 56,488,930,276
  5. Step 5: Solve for x
    x = 56,488,930,276/163,184
  6. Step 6: Final answer
    x = 346,167.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.