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Finding the Third Proportional to 153,424 and 328,169

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Solution

The third proportional to 153,424 and 328,169 is: 701,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424 : 328,169 = 328,169 : x
  2. Step 2: Convert to fraction form
    153,424/328,169 = 328,169/x
  3. Step 3: Cross multiply
    153,424x = 328,169 × 328,169
  4. Step 4: Simplify right side
    153,424x = 107,694,892,561
  5. Step 5: Solve for x
    x = 107,694,892,561/153,424
  6. Step 6: Final answer
    x = 701,942.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.