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Finding the Third Proportional to 148,114 and 229,408

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Solution

The third proportional to 148,114 and 229,408 is: 355,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,114 : 229,408 = 229,408 : x
  2. Step 2: Convert to fraction form
    148,114/229,408 = 229,408/x
  3. Step 3: Cross multiply
    148,114x = 229,408 × 229,408
  4. Step 4: Simplify right side
    148,114x = 52,628,030,464
  5. Step 5: Solve for x
    x = 52,628,030,464/148,114
  6. Step 6: Final answer
    x = 355,321.11

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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.