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Finding the Third Proportional to 217,002.75 and 335,973.75

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Solution

The third proportional to 217,002.75 and 335,973.75 is: 520,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,002.75 : 335,973.75 = 335,973.75 : x
  2. Step 2: Convert to fraction form
    217,002.75/335,973.75 = 335,973.75/x
  3. Step 3: Cross multiply
    217,002.75x = 335,973.75 × 335,973.75
  4. Step 4: Simplify right side
    217,002.75x = 112,878,360,689.06
  5. Step 5: Solve for x
    x = 112,878,360,689.06/217,002.75
  6. Step 6: Final answer
    x = 520,170.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.