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Finding the Third Proportional to 108,009 and 252,334

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Solution

The third proportional to 108,009 and 252,334 is: 589,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,009 : 252,334 = 252,334 : x
  2. Step 2: Convert to fraction form
    108,009/252,334 = 252,334/x
  3. Step 3: Cross multiply
    108,009x = 252,334 × 252,334
  4. Step 4: Simplify right side
    108,009x = 63,672,447,556
  5. Step 5: Solve for x
    x = 63,672,447,556/108,009
  6. Step 6: Final answer
    x = 589,510.57

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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.