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Finding the Third Proportional to 115,254 and 170,228

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Solution

The third proportional to 115,254 and 170,228 is: 251,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,254 : 170,228 = 170,228 : x
  2. Step 2: Convert to fraction form
    115,254/170,228 = 170,228/x
  3. Step 3: Cross multiply
    115,254x = 170,228 × 170,228
  4. Step 4: Simplify right side
    115,254x = 28,977,571,984
  5. Step 5: Solve for x
    x = 28,977,571,984/115,254
  6. Step 6: Final answer
    x = 251,423.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.