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Finding the Third Proportional to 250,607 and 362,083

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Solution

The third proportional to 250,607 and 362,083 is: 523,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,607 : 362,083 = 362,083 : x
  2. Step 2: Convert to fraction form
    250,607/362,083 = 362,083/x
  3. Step 3: Cross multiply
    250,607x = 362,083 × 362,083
  4. Step 4: Simplify right side
    250,607x = 131,104,098,889
  5. Step 5: Solve for x
    x = 131,104,098,889/250,607
  6. Step 6: Final answer
    x = 523,146.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.