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Finding the Third Proportional to 215,098 and 334,152

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Solution

The third proportional to 215,098 and 334,152 is: 519,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,098 : 334,152 = 334,152 : x
  2. Step 2: Convert to fraction form
    215,098/334,152 = 334,152/x
  3. Step 3: Cross multiply
    215,098x = 334,152 × 334,152
  4. Step 4: Simplify right side
    215,098x = 111,657,559,104
  5. Step 5: Solve for x
    x = 111,657,559,104/215,098
  6. Step 6: Final answer
    x = 519,100.87

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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.