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Finding the Third Proportional to 70,247.25 and 152,964

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Solution

The third proportional to 70,247.25 and 152,964 is: 333,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,247.25 : 152,964 = 152,964 : x
  2. Step 2: Convert to fraction form
    70,247.25/152,964 = 152,964/x
  3. Step 3: Cross multiply
    70,247.25x = 152,964 × 152,964
  4. Step 4: Simplify right side
    70,247.25x = 23,397,985,296
  5. Step 5: Solve for x
    x = 23,397,985,296/70,247.25
  6. Step 6: Final answer
    x = 333,080.45

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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.