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Finding the Third Proportional to 151,895 and 235,803

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Solution

The third proportional to 151,895 and 235,803 is: 366,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,895 : 235,803 = 235,803 : x
  2. Step 2: Convert to fraction form
    151,895/235,803 = 235,803/x
  3. Step 3: Cross multiply
    151,895x = 235,803 × 235,803
  4. Step 4: Simplify right side
    151,895x = 55,603,054,809
  5. Step 5: Solve for x
    x = 55,603,054,809/151,895
  6. Step 6: Final answer
    x = 366,062.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.