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Finding the Third Proportional to 136,953.28 and 298,817.86

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Solution

The third proportional to 136,953.28 and 298,817.86 is: 651,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,953.28 : 298,817.86 = 298,817.86 : x
  2. Step 2: Convert to fraction form
    136,953.28/298,817.86 = 298,817.86/x
  3. Step 3: Cross multiply
    136,953.28x = 298,817.86 × 298,817.86
  4. Step 4: Simplify right side
    136,953.28x = 89,292,113,081.46
  5. Step 5: Solve for x
    x = 89,292,113,081.46/136,953.28
  6. Step 6: Final answer
    x = 651,989.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.