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Finding the Third Proportional to 70,416 and 156,575

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Solution

The third proportional to 70,416 and 156,575 is: 348,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416 : 156,575 = 156,575 : x
  2. Step 2: Convert to fraction form
    70,416/156,575 = 156,575/x
  3. Step 3: Cross multiply
    70,416x = 156,575 × 156,575
  4. Step 4: Simplify right side
    70,416x = 24,515,730,625
  5. Step 5: Solve for x
    x = 24,515,730,625/70,416
  6. Step 6: Final answer
    x = 348,155.68

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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.