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Finding the Third Proportional to 152,733 and 335,352

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Solution

The third proportional to 152,733 and 335,352 is: 736,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,733 : 335,352 = 335,352 : x
  2. Step 2: Convert to fraction form
    152,733/335,352 = 335,352/x
  3. Step 3: Cross multiply
    152,733x = 335,352 × 335,352
  4. Step 4: Simplify right side
    152,733x = 112,460,963,904
  5. Step 5: Solve for x
    x = 112,460,963,904/152,733
  6. Step 6: Final answer
    x = 736,323.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.