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Finding the Third Proportional to 191,527.50 and 303,129

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Solution

The third proportional to 191,527.50 and 303,129 is: 479,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,527.50 : 303,129 = 303,129 : x
  2. Step 2: Convert to fraction form
    191,527.50/303,129 = 303,129/x
  3. Step 3: Cross multiply
    191,527.50x = 303,129 × 303,129
  4. Step 4: Simplify right side
    191,527.50x = 91,887,190,641
  5. Step 5: Solve for x
    x = 91,887,190,641/191,527.50
  6. Step 6: Final answer
    x = 479,759.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.