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Finding the Third Proportional to 152,471 and 235,619

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Solution

The third proportional to 152,471 and 235,619 is: 364,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,471 : 235,619 = 235,619 : x
  2. Step 2: Convert to fraction form
    152,471/235,619 = 235,619/x
  3. Step 3: Cross multiply
    152,471x = 235,619 × 235,619
  4. Step 4: Simplify right side
    152,471x = 55,516,313,161
  5. Step 5: Solve for x
    x = 55,516,313,161/152,471
  6. Step 6: Final answer
    x = 364,110.64

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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.