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Finding the Third Proportional to 191,740 and 300,125

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Solution

The third proportional to 191,740 and 300,125 is: 469,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,740 : 300,125 = 300,125 : x
  2. Step 2: Convert to fraction form
    191,740/300,125 = 300,125/x
  3. Step 3: Cross multiply
    191,740x = 300,125 × 300,125
  4. Step 4: Simplify right side
    191,740x = 90,075,015,625
  5. Step 5: Solve for x
    x = 90,075,015,625/191,740
  6. Step 6: Final answer
    x = 469,776.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.