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Finding the Third Proportional to 141,343 and 307,226

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Solution

The third proportional to 141,343 and 307,226 is: 667,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,343 : 307,226 = 307,226 : x
  2. Step 2: Convert to fraction form
    141,343/307,226 = 307,226/x
  3. Step 3: Cross multiply
    141,343x = 307,226 × 307,226
  4. Step 4: Simplify right side
    141,343x = 94,387,815,076
  5. Step 5: Solve for x
    x = 94,387,815,076/141,343
  6. Step 6: Final answer
    x = 667,792.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.