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Finding the Third Proportional to 147,603 and 223,152

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Solution

The third proportional to 147,603 and 223,152 is: 337,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,603 : 223,152 = 223,152 : x
  2. Step 2: Convert to fraction form
    147,603/223,152 = 223,152/x
  3. Step 3: Cross multiply
    147,603x = 223,152 × 223,152
  4. Step 4: Simplify right side
    147,603x = 49,796,815,104
  5. Step 5: Solve for x
    x = 49,796,815,104/147,603
  6. Step 6: Final answer
    x = 337,369.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.