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Finding the Third Proportional to 151,012 and 314,862.50

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Solution

The third proportional to 151,012 and 314,862.50 is: 656,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012 : 314,862.50 = 314,862.50 : x
  2. Step 2: Convert to fraction form
    151,012/314,862.50 = 314,862.50/x
  3. Step 3: Cross multiply
    151,012x = 314,862.50 × 314,862.50
  4. Step 4: Simplify right side
    151,012x = 99,138,393,906.25
  5. Step 5: Solve for x
    x = 99,138,393,906.25/151,012
  6. Step 6: Final answer
    x = 656,493.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.