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Finding the Third Proportional to 136,032 and 298,320

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Solution

The third proportional to 136,032 and 298,320 is: 654,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,032 : 298,320 = 298,320 : x
  2. Step 2: Convert to fraction form
    136,032/298,320 = 298,320/x
  3. Step 3: Cross multiply
    136,032x = 298,320 × 298,320
  4. Step 4: Simplify right side
    136,032x = 88,994,822,400
  5. Step 5: Solve for x
    x = 88,994,822,400/136,032
  6. Step 6: Final answer
    x = 654,219.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.