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Finding the Third Proportional to 134,828 and 292,986

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Solution

The third proportional to 134,828 and 292,986 is: 636,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,828 : 292,986 = 292,986 : x
  2. Step 2: Convert to fraction form
    134,828/292,986 = 292,986/x
  3. Step 3: Cross multiply
    134,828x = 292,986 × 292,986
  4. Step 4: Simplify right side
    134,828x = 85,840,796,196
  5. Step 5: Solve for x
    x = 85,840,796,196/134,828
  6. Step 6: Final answer
    x = 636,668.91

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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.