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Finding the Third Proportional to 96,240 and 214,352

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Solution

The third proportional to 96,240 and 214,352 is: 477,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,240 : 214,352 = 214,352 : x
  2. Step 2: Convert to fraction form
    96,240/214,352 = 214,352/x
  3. Step 3: Cross multiply
    96,240x = 214,352 × 214,352
  4. Step 4: Simplify right side
    96,240x = 45,946,779,904
  5. Step 5: Solve for x
    x = 45,946,779,904/96,240
  6. Step 6: Final answer
    x = 477,418.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.