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Finding the Third Proportional to 136,568.25 and 298,044

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Solution

The third proportional to 136,568.25 and 298,044 is: 650,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,568.25 : 298,044 = 298,044 : x
  2. Step 2: Convert to fraction form
    136,568.25/298,044 = 298,044/x
  3. Step 3: Cross multiply
    136,568.25x = 298,044 × 298,044
  4. Step 4: Simplify right side
    136,568.25x = 88,830,225,936
  5. Step 5: Solve for x
    x = 88,830,225,936/136,568.25
  6. Step 6: Final answer
    x = 650,445.66

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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.