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Finding the Third Proportional to 136,514 and 292,784

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Solution

The third proportional to 136,514 and 292,784 is: 627,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,514 : 292,784 = 292,784 : x
  2. Step 2: Convert to fraction form
    136,514/292,784 = 292,784/x
  3. Step 3: Cross multiply
    136,514x = 292,784 × 292,784
  4. Step 4: Simplify right side
    136,514x = 85,722,470,656
  5. Step 5: Solve for x
    x = 85,722,470,656/136,514
  6. Step 6: Final answer
    x = 627,939.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.