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Finding the Third Proportional to 202,980 and 288,501

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Solution

The third proportional to 202,980 and 288,501 is: 410,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,980 : 288,501 = 288,501 : x
  2. Step 2: Convert to fraction form
    202,980/288,501 = 288,501/x
  3. Step 3: Cross multiply
    202,980x = 288,501 × 288,501
  4. Step 4: Simplify right side
    202,980x = 83,232,827,001
  5. Step 5: Solve for x
    x = 83,232,827,001/202,980
  6. Step 6: Final answer
    x = 410,054.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.