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Finding the Third Proportional to 208,133 and 309,895

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Solution

The third proportional to 208,133 and 309,895 is: 461,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133 : 309,895 = 309,895 : x
  2. Step 2: Convert to fraction form
    208,133/309,895 = 309,895/x
  3. Step 3: Cross multiply
    208,133x = 309,895 × 309,895
  4. Step 4: Simplify right side
    208,133x = 96,034,911,025
  5. Step 5: Solve for x
    x = 96,034,911,025/208,133
  6. Step 6: Final answer
    x = 461,411.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.