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Finding the Third Proportional to 241,352 and 361,560

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Solution

The third proportional to 241,352 and 361,560 is: 541,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,352 : 361,560 = 361,560 : x
  2. Step 2: Convert to fraction form
    241,352/361,560 = 361,560/x
  3. Step 3: Cross multiply
    241,352x = 361,560 × 361,560
  4. Step 4: Simplify right side
    241,352x = 130,725,633,600
  5. Step 5: Solve for x
    x = 130,725,633,600/241,352
  6. Step 6: Final answer
    x = 541,638.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.