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Finding the Third Proportional to 173,908 and 264,516

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Solution

The third proportional to 173,908 and 264,516 is: 402,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,908 : 264,516 = 264,516 : x
  2. Step 2: Convert to fraction form
    173,908/264,516 = 264,516/x
  3. Step 3: Cross multiply
    173,908x = 264,516 × 264,516
  4. Step 4: Simplify right side
    173,908x = 69,968,714,256
  5. Step 5: Solve for x
    x = 69,968,714,256/173,908
  6. Step 6: Final answer
    x = 402,331.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.