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Finding the Third Proportional to 202,212 and 291,289

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Solution

The third proportional to 202,212 and 291,289 is: 419,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,212 : 291,289 = 291,289 : x
  2. Step 2: Convert to fraction form
    202,212/291,289 = 291,289/x
  3. Step 3: Cross multiply
    202,212x = 291,289 × 291,289
  4. Step 4: Simplify right side
    202,212x = 84,849,281,521
  5. Step 5: Solve for x
    x = 84,849,281,521/202,212
  6. Step 6: Final answer
    x = 419,605.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.