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Finding the Third Proportional to 207,017 and 292,989

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Solution

The third proportional to 207,017 and 292,989 is: 414,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,017 : 292,989 = 292,989 : x
  2. Step 2: Convert to fraction form
    207,017/292,989 = 292,989/x
  3. Step 3: Cross multiply
    207,017x = 292,989 × 292,989
  4. Step 4: Simplify right side
    207,017x = 85,842,554,121
  5. Step 5: Solve for x
    x = 85,842,554,121/207,017
  6. Step 6: Final answer
    x = 414,664.27

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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.