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Finding the Third Proportional to 137,232 and 219,152

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Solution

The third proportional to 137,232 and 219,152 is: 349,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232 : 219,152 = 219,152 : x
  2. Step 2: Convert to fraction form
    137,232/219,152 = 219,152/x
  3. Step 3: Cross multiply
    137,232x = 219,152 × 219,152
  4. Step 4: Simplify right side
    137,232x = 48,027,599,104
  5. Step 5: Solve for x
    x = 48,027,599,104/137,232
  6. Step 6: Final answer
    x = 349,973.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.