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Finding the Third Proportional to 145,735.50 and 313,614

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Solution

The third proportional to 145,735.50 and 313,614 is: 674,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,735.50 : 313,614 = 313,614 : x
  2. Step 2: Convert to fraction form
    145,735.50/313,614 = 313,614/x
  3. Step 3: Cross multiply
    145,735.50x = 313,614 × 313,614
  4. Step 4: Simplify right side
    145,735.50x = 98,353,740,996
  5. Step 5: Solve for x
    x = 98,353,740,996/145,735.50
  6. Step 6: Final answer
    x = 674,878.40

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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.