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Finding the Third Proportional to 147,720.50 and 313,165

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Solution

The third proportional to 147,720.50 and 313,165 is: 663,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,720.50 : 313,165 = 313,165 : x
  2. Step 2: Convert to fraction form
    147,720.50/313,165 = 313,165/x
  3. Step 3: Cross multiply
    147,720.50x = 313,165 × 313,165
  4. Step 4: Simplify right side
    147,720.50x = 98,072,317,225
  5. Step 5: Solve for x
    x = 98,072,317,225/147,720.50
  6. Step 6: Final answer
    x = 663,904.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.