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Finding the Third Proportional to 148,408 and 304,106

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Solution

The third proportional to 148,408 and 304,106 is: 623,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,408 : 304,106 = 304,106 : x
  2. Step 2: Convert to fraction form
    148,408/304,106 = 304,106/x
  3. Step 3: Cross multiply
    148,408x = 304,106 × 304,106
  4. Step 4: Simplify right side
    148,408x = 92,480,459,236
  5. Step 5: Solve for x
    x = 92,480,459,236/148,408
  6. Step 6: Final answer
    x = 623,150.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.