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Finding the Third Proportional to 150,872.63 and 314,143.31

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Solution

The third proportional to 150,872.63 and 314,143.31 is: 654,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,872.63 : 314,143.31 = 314,143.31 : x
  2. Step 2: Convert to fraction form
    150,872.63/314,143.31 = 314,143.31/x
  3. Step 3: Cross multiply
    150,872.63x = 314,143.31 × 314,143.31
  4. Step 4: Simplify right side
    150,872.63x = 98,686,020,788.47
  5. Step 5: Solve for x
    x = 98,686,020,788.47/150,872.63
  6. Step 6: Final answer
    x = 654,101.57

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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.