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Finding the Third Proportional to 70,405.50 and 156,363

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Solution

The third proportional to 70,405.50 and 156,363 is: 347,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.50 : 156,363 = 156,363 : x
  2. Step 2: Convert to fraction form
    70,405.50/156,363 = 156,363/x
  3. Step 3: Cross multiply
    70,405.50x = 156,363 × 156,363
  4. Step 4: Simplify right side
    70,405.50x = 24,449,387,769
  5. Step 5: Solve for x
    x = 24,449,387,769/70,405.50
  6. Step 6: Final answer
    x = 347,265.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.