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Finding the Third Proportional to 98,328 and 212,160

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Solution

The third proportional to 98,328 and 212,160 is: 457,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,328 : 212,160 = 212,160 : x
  2. Step 2: Convert to fraction form
    98,328/212,160 = 212,160/x
  3. Step 3: Cross multiply
    98,328x = 212,160 × 212,160
  4. Step 4: Simplify right side
    98,328x = 45,011,865,600
  5. Step 5: Solve for x
    x = 45,011,865,600/98,328
  6. Step 6: Final answer
    x = 457,772.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.