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Finding the Third Proportional to 136,510 and 299,265

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Solution

The third proportional to 136,510 and 299,265 is: 656,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,510 : 299,265 = 299,265 : x
  2. Step 2: Convert to fraction form
    136,510/299,265 = 299,265/x
  3. Step 3: Cross multiply
    136,510x = 299,265 × 299,265
  4. Step 4: Simplify right side
    136,510x = 89,559,540,225
  5. Step 5: Solve for x
    x = 89,559,540,225/136,510
  6. Step 6: Final answer
    x = 656,065.78

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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.