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Finding the Third Proportional to 164,742 and 361,560

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Solution

The third proportional to 164,742 and 361,560 is: 793,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,742 : 361,560 = 361,560 : x
  2. Step 2: Convert to fraction form
    164,742/361,560 = 361,560/x
  3. Step 3: Cross multiply
    164,742x = 361,560 × 361,560
  4. Step 4: Simplify right side
    164,742x = 130,725,633,600
  5. Step 5: Solve for x
    x = 130,725,633,600/164,742
  6. Step 6: Final answer
    x = 793,517.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.