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Finding the Third Proportional to 137,064 and 297,408

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Solution

The third proportional to 137,064 and 297,408 is: 645,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,064 : 297,408 = 297,408 : x
  2. Step 2: Convert to fraction form
    137,064/297,408 = 297,408/x
  3. Step 3: Cross multiply
    137,064x = 297,408 × 297,408
  4. Step 4: Simplify right side
    137,064x = 88,451,518,464
  5. Step 5: Solve for x
    x = 88,451,518,464/137,064
  6. Step 6: Final answer
    x = 645,330.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.