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Finding the Third Proportional to 145,472.25 and 225,773

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Solution

The third proportional to 145,472.25 and 225,773 is: 350,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,472.25 : 225,773 = 225,773 : x
  2. Step 2: Convert to fraction form
    145,472.25/225,773 = 225,773/x
  3. Step 3: Cross multiply
    145,472.25x = 225,773 × 225,773
  4. Step 4: Simplify right side
    145,472.25x = 50,973,447,529
  5. Step 5: Solve for x
    x = 50,973,447,529/145,472.25
  6. Step 6: Final answer
    x = 350,399.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.