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Finding the Third Proportional to 151,250 and 191,143.50

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Solution

The third proportional to 151,250 and 191,143.50 is: 241,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,250 : 191,143.50 = 191,143.50 : x
  2. Step 2: Convert to fraction form
    151,250/191,143.50 = 191,143.50/x
  3. Step 3: Cross multiply
    151,250x = 191,143.50 × 191,143.50
  4. Step 4: Simplify right side
    151,250x = 36,535,837,592.25
  5. Step 5: Solve for x
    x = 36,535,837,592.25/151,250
  6. Step 6: Final answer
    x = 241,559.26

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.