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Finding the Third Proportional to 173,998 and 264,642

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Solution

The third proportional to 173,998 and 264,642 is: 402,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,998 : 264,642 = 264,642 : x
  2. Step 2: Convert to fraction form
    173,998/264,642 = 264,642/x
  3. Step 3: Cross multiply
    173,998x = 264,642 × 264,642
  4. Step 4: Simplify right side
    173,998x = 70,035,388,164
  5. Step 5: Solve for x
    x = 70,035,388,164/173,998
  6. Step 6: Final answer
    x = 402,506.86

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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.