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Finding the Third Proportional to 166,040 and 259,428

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Solution

The third proportional to 166,040 and 259,428 is: 405,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,040 : 259,428 = 259,428 : x
  2. Step 2: Convert to fraction form
    166,040/259,428 = 259,428/x
  3. Step 3: Cross multiply
    166,040x = 259,428 × 259,428
  4. Step 4: Simplify right side
    166,040x = 67,302,887,184
  5. Step 5: Solve for x
    x = 67,302,887,184/166,040
  6. Step 6: Final answer
    x = 405,341.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.