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Finding the Third Proportional to 145,189.97 and 312,627.09

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Solution

The third proportional to 145,189.97 and 312,627.09 is: 673,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,189.97 : 312,627.09 = 312,627.09 : x
  2. Step 2: Convert to fraction form
    145,189.97/312,627.09 = 312,627.09/x
  3. Step 3: Cross multiply
    145,189.97x = 312,627.09 × 312,627.09
  4. Step 4: Simplify right side
    145,189.97x = 97,735,699,746.57
  5. Step 5: Solve for x
    x = 97,735,699,746.57/145,189.97
  6. Step 6: Final answer
    x = 673,157.39

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