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Finding the Third Proportional to 151,878 and 333,008

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Solution

The third proportional to 151,878 and 333,008 is: 730,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,878 : 333,008 = 333,008 : x
  2. Step 2: Convert to fraction form
    151,878/333,008 = 333,008/x
  3. Step 3: Cross multiply
    151,878x = 333,008 × 333,008
  4. Step 4: Simplify right side
    151,878x = 110,894,328,064
  5. Step 5: Solve for x
    x = 110,894,328,064/151,878
  6. Step 6: Final answer
    x = 730,153.99

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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.