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Finding the Third Proportional to 217,697 and 336,254.25

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Solution

The third proportional to 217,697 and 336,254.25 is: 519,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,697 : 336,254.25 = 336,254.25 : x
  2. Step 2: Convert to fraction form
    217,697/336,254.25 = 336,254.25/x
  3. Step 3: Cross multiply
    217,697x = 336,254.25 × 336,254.25
  4. Step 4: Simplify right side
    217,697x = 113,066,920,643.06
  5. Step 5: Solve for x
    x = 113,066,920,643.06/217,697
  6. Step 6: Final answer
    x = 519,377.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.