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Finding the Third Proportional to 215,254 and 335,963

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Solution

The third proportional to 215,254 and 335,963 is: 524,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254 : 335,963 = 335,963 : x
  2. Step 2: Convert to fraction form
    215,254/335,963 = 335,963/x
  3. Step 3: Cross multiply
    215,254x = 335,963 × 335,963
  4. Step 4: Simplify right side
    215,254x = 112,871,137,369
  5. Step 5: Solve for x
    x = 112,871,137,369/215,254
  6. Step 6: Final answer
    x = 524,362.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.