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Finding the Third Proportional to 154,440 and 335,036.25

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Solution

The third proportional to 154,440 and 335,036.25 is: 726,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,440 : 335,036.25 = 335,036.25 : x
  2. Step 2: Convert to fraction form
    154,440/335,036.25 = 335,036.25/x
  3. Step 3: Cross multiply
    154,440x = 335,036.25 × 335,036.25
  4. Step 4: Simplify right side
    154,440x = 112,249,288,814.06
  5. Step 5: Solve for x
    x = 112,249,288,814.06/154,440
  6. Step 6: Final answer
    x = 726,814.87

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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.