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Finding the Third Proportional to 122,808 and 264,408

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Solution

The third proportional to 122,808 and 264,408 is: 569,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,808 : 264,408 = 264,408 : x
  2. Step 2: Convert to fraction form
    122,808/264,408 = 264,408/x
  3. Step 3: Cross multiply
    122,808x = 264,408 × 264,408
  4. Step 4: Simplify right side
    122,808x = 69,911,590,464
  5. Step 5: Solve for x
    x = 69,911,590,464/122,808
  6. Step 6: Final answer
    x = 569,275.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.