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Finding the Third Proportional to 152,922 and 335,292

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Solution

The third proportional to 152,922 and 335,292 is: 735,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,922 : 335,292 = 335,292 : x
  2. Step 2: Convert to fraction form
    152,922/335,292 = 335,292/x
  3. Step 3: Cross multiply
    152,922x = 335,292 × 335,292
  4. Step 4: Simplify right side
    152,922x = 112,420,725,264
  5. Step 5: Solve for x
    x = 112,420,725,264/152,922
  6. Step 6: Final answer
    x = 735,150.76

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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.