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Finding the Third Proportional to 141,212 and 207,494

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Solution

The third proportional to 141,212 and 207,494 is: 304,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,212 : 207,494 = 207,494 : x
  2. Step 2: Convert to fraction form
    141,212/207,494 = 207,494/x
  3. Step 3: Cross multiply
    141,212x = 207,494 × 207,494
  4. Step 4: Simplify right side
    141,212x = 43,053,760,036
  5. Step 5: Solve for x
    x = 43,053,760,036/141,212
  6. Step 6: Final answer
    x = 304,887.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.