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Finding the Third Proportional to 205,170 and 310,501

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Solution

The third proportional to 205,170 and 310,501 is: 469,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,170 : 310,501 = 310,501 : x
  2. Step 2: Convert to fraction form
    205,170/310,501 = 310,501/x
  3. Step 3: Cross multiply
    205,170x = 310,501 × 310,501
  4. Step 4: Simplify right side
    205,170x = 96,410,871,001
  5. Step 5: Solve for x
    x = 96,410,871,001/205,170
  6. Step 6: Final answer
    x = 469,907.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.