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Finding the Third Proportional to 70,595.50 and 155,015

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Solution

The third proportional to 70,595.50 and 155,015 is: 340,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,595.50 : 155,015 = 155,015 : x
  2. Step 2: Convert to fraction form
    70,595.50/155,015 = 155,015/x
  3. Step 3: Cross multiply
    70,595.50x = 155,015 × 155,015
  4. Step 4: Simplify right side
    70,595.50x = 24,029,650,225
  5. Step 5: Solve for x
    x = 24,029,650,225/70,595.50
  6. Step 6: Final answer
    x = 340,385.01

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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.