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Finding the Third Proportional to 153,424 and 335,540

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Solution

The third proportional to 153,424 and 335,540 is: 733,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424 : 335,540 = 335,540 : x
  2. Step 2: Convert to fraction form
    153,424/335,540 = 335,540/x
  3. Step 3: Cross multiply
    153,424x = 335,540 × 335,540
  4. Step 4: Simplify right side
    153,424x = 112,587,091,600
  5. Step 5: Solve for x
    x = 112,587,091,600/153,424
  6. Step 6: Final answer
    x = 733,829.72

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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.