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Finding the Third Proportional to 166,925 and 258,862

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Solution

The third proportional to 166,925 and 258,862 is: 401,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,925 : 258,862 = 258,862 : x
  2. Step 2: Convert to fraction form
    166,925/258,862 = 258,862/x
  3. Step 3: Cross multiply
    166,925x = 258,862 × 258,862
  4. Step 4: Simplify right side
    166,925x = 67,009,535,044
  5. Step 5: Solve for x
    x = 67,009,535,044/166,925
  6. Step 6: Final answer
    x = 401,434.99

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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.