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Finding the Third Proportional to 191,129 and 303,643.50

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Solution

The third proportional to 191,129 and 303,643.50 is: 482,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,129 : 303,643.50 = 303,643.50 : x
  2. Step 2: Convert to fraction form
    191,129/303,643.50 = 303,643.50/x
  3. Step 3: Cross multiply
    191,129x = 303,643.50 × 303,643.50
  4. Step 4: Simplify right side
    191,129x = 92,199,375,092.25
  5. Step 5: Solve for x
    x = 92,199,375,092.25/191,129
  6. Step 6: Final answer
    x = 482,393.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.