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Finding the Third Proportional to 136,173 and 298,185

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Solution

The third proportional to 136,173 and 298,185 is: 652,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,173 : 298,185 = 298,185 : x
  2. Step 2: Convert to fraction form
    136,173/298,185 = 298,185/x
  3. Step 3: Cross multiply
    136,173x = 298,185 × 298,185
  4. Step 4: Simplify right side
    136,173x = 88,914,294,225
  5. Step 5: Solve for x
    x = 88,914,294,225/136,173
  6. Step 6: Final answer
    x = 652,950.98

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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.