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Finding the Third Proportional to 150,887 and 314,167

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Solution

The third proportional to 150,887 and 314,167 is: 654,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,887 : 314,167 = 314,167 : x
  2. Step 2: Convert to fraction form
    150,887/314,167 = 314,167/x
  3. Step 3: Cross multiply
    150,887x = 314,167 × 314,167
  4. Step 4: Simplify right side
    150,887x = 98,700,903,889
  5. Step 5: Solve for x
    x = 98,700,903,889/150,887
  6. Step 6: Final answer
    x = 654,137.89

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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.