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Finding the Third Proportional to 70,605 and 155,203.50

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Solution

The third proportional to 70,605 and 155,203.50 is: 341,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605 : 155,203.50 = 155,203.50 : x
  2. Step 2: Convert to fraction form
    70,605/155,203.50 = 155,203.50/x
  3. Step 3: Cross multiply
    70,605x = 155,203.50 × 155,203.50
  4. Step 4: Simplify right side
    70,605x = 24,088,126,412.25
  5. Step 5: Solve for x
    x = 24,088,126,412.25/70,605
  6. Step 6: Final answer
    x = 341,167.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.