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Finding the Third Proportional to 136,056 and 298,368

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Solution

The third proportional to 136,056 and 298,368 is: 654,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,056 : 298,368 = 298,368 : x
  2. Step 2: Convert to fraction form
    136,056/298,368 = 298,368/x
  3. Step 3: Cross multiply
    136,056x = 298,368 × 298,368
  4. Step 4: Simplify right side
    136,056x = 89,023,463,424
  5. Step 5: Solve for x
    x = 89,023,463,424/136,056
  6. Step 6: Final answer
    x = 654,314.87

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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.