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Finding the Third Proportional to 70,226.16 and 153,590.34

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Solution

The third proportional to 70,226.16 and 153,590.34 is: 335,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,226.16 : 153,590.34 = 153,590.34 : x
  2. Step 2: Convert to fraction form
    70,226.16/153,590.34 = 153,590.34/x
  3. Step 3: Cross multiply
    70,226.16x = 153,590.34 × 153,590.34
  4. Step 4: Simplify right side
    70,226.16x = 23,589,993,693.24
  5. Step 5: Solve for x
    x = 23,589,993,693.24/70,226.16
  6. Step 6: Final answer
    x = 335,914.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.