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Finding the Third Proportional to 146,131.75 and 314,022.45

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Solution

The third proportional to 146,131.75 and 314,022.45 is: 674,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,131.75 : 314,022.45 = 314,022.45 : x
  2. Step 2: Convert to fraction form
    146,131.75/314,022.45 = 314,022.45/x
  3. Step 3: Cross multiply
    146,131.75x = 314,022.45 × 314,022.45
  4. Step 4: Simplify right side
    146,131.75x = 98,610,096,160.04
  5. Step 5: Solve for x
    x = 98,610,096,160.04/146,131.75
  6. Step 6: Final answer
    x = 674,802.67

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Why These Related Problems?

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