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Finding the Third Proportional to 232,576 and 349,152

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Solution

The third proportional to 232,576 and 349,152 is: 524,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,576 : 349,152 = 349,152 : x
  2. Step 2: Convert to fraction form
    232,576/349,152 = 349,152/x
  3. Step 3: Cross multiply
    232,576x = 349,152 × 349,152
  4. Step 4: Simplify right side
    232,576x = 121,907,119,104
  5. Step 5: Solve for x
    x = 121,907,119,104/232,576
  6. Step 6: Final answer
    x = 524,160.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.