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Finding the Third Proportional to 134,850 and 294,612

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Solution

The third proportional to 134,850 and 294,612 is: 643,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,850 : 294,612 = 294,612 : x
  2. Step 2: Convert to fraction form
    134,850/294,612 = 294,612/x
  3. Step 3: Cross multiply
    134,850x = 294,612 × 294,612
  4. Step 4: Simplify right side
    134,850x = 86,796,230,544
  5. Step 5: Solve for x
    x = 86,796,230,544/134,850
  6. Step 6: Final answer
    x = 643,650.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.