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Finding the Third Proportional to 163,464 and 253,215

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Solution

The third proportional to 163,464 and 253,215 is: 392,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,464 : 253,215 = 253,215 : x
  2. Step 2: Convert to fraction form
    163,464/253,215 = 253,215/x
  3. Step 3: Cross multiply
    163,464x = 253,215 × 253,215
  4. Step 4: Simplify right side
    163,464x = 64,117,836,225
  5. Step 5: Solve for x
    x = 64,117,836,225/163,464
  6. Step 6: Final answer
    x = 392,244.39

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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.