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Finding the Third Proportional to 153,420 and 328,164

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Solution

The third proportional to 153,420 and 328,164 is: 701,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,420 : 328,164 = 328,164 : x
  2. Step 2: Convert to fraction form
    153,420/328,164 = 328,164/x
  3. Step 3: Cross multiply
    153,420x = 328,164 × 328,164
  4. Step 4: Simplify right side
    153,420x = 107,691,610,896
  5. Step 5: Solve for x
    x = 107,691,610,896/153,420
  6. Step 6: Final answer
    x = 701,939.84

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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.