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Finding the Third Proportional to 136,752 and 298,176

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Solution

The third proportional to 136,752 and 298,176 is: 650,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,752 : 298,176 = 298,176 : x
  2. Step 2: Convert to fraction form
    136,752/298,176 = 298,176/x
  3. Step 3: Cross multiply
    136,752x = 298,176 × 298,176
  4. Step 4: Simplify right side
    136,752x = 88,908,926,976
  5. Step 5: Solve for x
    x = 88,908,926,976/136,752
  6. Step 6: Final answer
    x = 650,147.18

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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.