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Finding the Third Proportional to 264,104 and 358,840

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Solution

The third proportional to 264,104 and 358,840 is: 487,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,104 : 358,840 = 358,840 : x
  2. Step 2: Convert to fraction form
    264,104/358,840 = 358,840/x
  3. Step 3: Cross multiply
    264,104x = 358,840 × 358,840
  4. Step 4: Simplify right side
    264,104x = 128,766,145,600
  5. Step 5: Solve for x
    x = 128,766,145,600/264,104
  6. Step 6: Final answer
    x = 487,558.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.