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Finding the Third Proportional to 153,396 and 328,120

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Solution

The third proportional to 153,396 and 328,120 is: 701,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,396 : 328,120 = 328,120 : x
  2. Step 2: Convert to fraction form
    153,396/328,120 = 328,120/x
  3. Step 3: Cross multiply
    153,396x = 328,120 × 328,120
  4. Step 4: Simplify right side
    153,396x = 107,662,734,400
  5. Step 5: Solve for x
    x = 107,662,734,400/153,396
  6. Step 6: Final answer
    x = 701,861.42

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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.