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Finding the Third Proportional to 154,622.25 and 335,484

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Solution

The third proportional to 154,622.25 and 335,484 is: 727,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,622.25 : 335,484 = 335,484 : x
  2. Step 2: Convert to fraction form
    154,622.25/335,484 = 335,484/x
  3. Step 3: Cross multiply
    154,622.25x = 335,484 × 335,484
  4. Step 4: Simplify right side
    154,622.25x = 112,549,514,256
  5. Step 5: Solve for x
    x = 112,549,514,256/154,622.25
  6. Step 6: Final answer
    x = 727,899.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.