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Finding the Third Proportional to 145,886 and 314,126

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Solution

The third proportional to 145,886 and 314,126 is: 676,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886 : 314,126 = 314,126 : x
  2. Step 2: Convert to fraction form
    145,886/314,126 = 314,126/x
  3. Step 3: Cross multiply
    145,886x = 314,126 × 314,126
  4. Step 4: Simplify right side
    145,886x = 98,675,143,876
  5. Step 5: Solve for x
    x = 98,675,143,876/145,886
  6. Step 6: Final answer
    x = 676,385.29

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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.