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Finding the Third Proportional to 115,281 and 269,262

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Solution

The third proportional to 115,281 and 269,262 is: 628,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,281 : 269,262 = 269,262 : x
  2. Step 2: Convert to fraction form
    115,281/269,262 = 269,262/x
  3. Step 3: Cross multiply
    115,281x = 269,262 × 269,262
  4. Step 4: Simplify right side
    115,281x = 72,502,024,644
  5. Step 5: Solve for x
    x = 72,502,024,644/115,281
  6. Step 6: Final answer
    x = 628,915.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.