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Finding the Third Proportional to 150,861 and 314,122.69

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Solution

The third proportional to 150,861 and 314,122.69 is: 654,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,861 : 314,122.69 = 314,122.69 : x
  2. Step 2: Convert to fraction form
    150,861/314,122.69 = 314,122.69/x
  3. Step 3: Cross multiply
    150,861x = 314,122.69 × 314,122.69
  4. Step 4: Simplify right side
    150,861x = 98,673,062,802.22
  5. Step 5: Solve for x
    x = 98,673,062,802.22/150,861
  6. Step 6: Final answer
    x = 654,066.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.