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Finding the Third Proportional to 173,516 and 236,384

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Solution

The third proportional to 173,516 and 236,384 is: 322,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,516 : 236,384 = 236,384 : x
  2. Step 2: Convert to fraction form
    173,516/236,384 = 236,384/x
  3. Step 3: Cross multiply
    173,516x = 236,384 × 236,384
  4. Step 4: Simplify right side
    173,516x = 55,877,395,456
  5. Step 5: Solve for x
    x = 55,877,395,456/173,516
  6. Step 6: Final answer
    x = 322,030.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.