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Finding the Third Proportional to 202,210 and 440,275

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Solution

The third proportional to 202,210 and 440,275 is: 958,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,210 : 440,275 = 440,275 : x
  2. Step 2: Convert to fraction form
    202,210/440,275 = 440,275/x
  3. Step 3: Cross multiply
    202,210x = 440,275 × 440,275
  4. Step 4: Simplify right side
    202,210x = 193,842,075,625
  5. Step 5: Solve for x
    x = 193,842,075,625/202,210
  6. Step 6: Final answer
    x = 958,617.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.