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Finding the Third Proportional to 152,834.34 and 335,193.19

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Solution

The third proportional to 152,834.34 and 335,193.19 is: 735,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,834.34 : 335,193.19 = 335,193.19 : x
  2. Step 2: Convert to fraction form
    152,834.34/335,193.19 = 335,193.19/x
  3. Step 3: Cross multiply
    152,834.34x = 335,193.19 × 335,193.19
  4. Step 4: Simplify right side
    152,834.34x = 112,354,472,946.41
  5. Step 5: Solve for x
    x = 112,354,472,946.41/152,834.34
  6. Step 6: Final answer
    x = 735,138.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.