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Finding the Third Proportional to 141,784 and 307,040

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Solution

The third proportional to 141,784 and 307,040 is: 664,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,784 : 307,040 = 307,040 : x
  2. Step 2: Convert to fraction form
    141,784/307,040 = 307,040/x
  3. Step 3: Cross multiply
    141,784x = 307,040 × 307,040
  4. Step 4: Simplify right side
    141,784x = 94,273,561,600
  5. Step 5: Solve for x
    x = 94,273,561,600/141,784
  6. Step 6: Final answer
    x = 664,909.73

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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.