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Finding the Third Proportional to 151,893 and 333,045

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Solution

The third proportional to 151,893 and 333,045 is: 730,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,893 : 333,045 = 333,045 : x
  2. Step 2: Convert to fraction form
    151,893/333,045 = 333,045/x
  3. Step 3: Cross multiply
    151,893x = 333,045 × 333,045
  4. Step 4: Simplify right side
    151,893x = 110,918,972,025
  5. Step 5: Solve for x
    x = 110,918,972,025/151,893
  6. Step 6: Final answer
    x = 730,244.13

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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.