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Finding the Third Proportional to 167,426 and 361,408

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Solution

The third proportional to 167,426 and 361,408 is: 780,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,426 : 361,408 = 361,408 : x
  2. Step 2: Convert to fraction form
    167,426/361,408 = 361,408/x
  3. Step 3: Cross multiply
    167,426x = 361,408 × 361,408
  4. Step 4: Simplify right side
    167,426x = 130,615,742,464
  5. Step 5: Solve for x
    x = 130,615,742,464/167,426
  6. Step 6: Final answer
    x = 780,140.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.