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Finding the Third Proportional to 151,782 and 333,089

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Solution

The third proportional to 151,782 and 333,089 is: 730,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,782 : 333,089 = 333,089 : x
  2. Step 2: Convert to fraction form
    151,782/333,089 = 333,089/x
  3. Step 3: Cross multiply
    151,782x = 333,089 × 333,089
  4. Step 4: Simplify right side
    151,782x = 110,948,281,921
  5. Step 5: Solve for x
    x = 110,948,281,921/151,782
  6. Step 6: Final answer
    x = 730,971.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.