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Finding the Third Proportional to 145,089 and 325,890

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Solution

The third proportional to 145,089 and 325,890 is: 731,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,089 : 325,890 = 325,890 : x
  2. Step 2: Convert to fraction form
    145,089/325,890 = 325,890/x
  3. Step 3: Cross multiply
    145,089x = 325,890 × 325,890
  4. Step 4: Simplify right side
    145,089x = 106,204,292,100
  5. Step 5: Solve for x
    x = 106,204,292,100/145,089
  6. Step 6: Final answer
    x = 731,994.10

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.