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Finding the Third Proportional to 122,164 and 265,217

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Solution

The third proportional to 122,164 and 265,217 is: 575,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,164 : 265,217 = 265,217 : x
  2. Step 2: Convert to fraction form
    122,164/265,217 = 265,217/x
  3. Step 3: Cross multiply
    122,164x = 265,217 × 265,217
  4. Step 4: Simplify right side
    122,164x = 70,340,057,089
  5. Step 5: Solve for x
    x = 70,340,057,089/122,164
  6. Step 6: Final answer
    x = 575,783.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.