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Finding the Third Proportional to 141,398 and 207,345

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Solution

The third proportional to 141,398 and 207,345 is: 304,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,398 : 207,345 = 207,345 : x
  2. Step 2: Convert to fraction form
    141,398/207,345 = 207,345/x
  3. Step 3: Cross multiply
    141,398x = 207,345 × 207,345
  4. Step 4: Simplify right side
    141,398x = 42,991,949,025
  5. Step 5: Solve for x
    x = 42,991,949,025/141,398
  6. Step 6: Final answer
    x = 304,049.20

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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.