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Finding the Third Proportional to 169,412.50 and 225,852

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Solution

The third proportional to 169,412.50 and 225,852 is: 301,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,412.50 : 225,852 = 225,852 : x
  2. Step 2: Convert to fraction form
    169,412.50/225,852 = 225,852/x
  3. Step 3: Cross multiply
    169,412.50x = 225,852 × 225,852
  4. Step 4: Simplify right side
    169,412.50x = 51,009,125,904
  5. Step 5: Solve for x
    x = 51,009,125,904/169,412.50
  6. Step 6: Final answer
    x = 301,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.