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Finding the Third Proportional to 70,396.50 and 153,186.50

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Solution

The third proportional to 70,396.50 and 153,186.50 is: 333,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,396.50 : 153,186.50 = 153,186.50 : x
  2. Step 2: Convert to fraction form
    70,396.50/153,186.50 = 153,186.50/x
  3. Step 3: Cross multiply
    70,396.50x = 153,186.50 × 153,186.50
  4. Step 4: Simplify right side
    70,396.50x = 23,466,103,782.25
  5. Step 5: Solve for x
    x = 23,466,103,782.25/70,396.50
  6. Step 6: Final answer
    x = 333,341.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.