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Finding the Third Proportional to 151,280 and 325,901

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Solution

The third proportional to 151,280 and 325,901 is: 702,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,280 : 325,901 = 325,901 : x
  2. Step 2: Convert to fraction form
    151,280/325,901 = 325,901/x
  3. Step 3: Cross multiply
    151,280x = 325,901 × 325,901
  4. Step 4: Simplify right side
    151,280x = 106,211,461,801
  5. Step 5: Solve for x
    x = 106,211,461,801/151,280
  6. Step 6: Final answer
    x = 702,085.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.