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Finding the Third Proportional to 169,615.50 and 230,352

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Solution

The third proportional to 169,615.50 and 230,352 is: 312,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,615.50 : 230,352 = 230,352 : x
  2. Step 2: Convert to fraction form
    169,615.50/230,352 = 230,352/x
  3. Step 3: Cross multiply
    169,615.50x = 230,352 × 230,352
  4. Step 4: Simplify right side
    169,615.50x = 53,062,043,904
  5. Step 5: Solve for x
    x = 53,062,043,904/169,615.50
  6. Step 6: Final answer
    x = 312,837.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.