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Finding the Third Proportional to 172,465 and 376,992

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Solution

The third proportional to 172,465 and 376,992 is: 824,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,465 : 376,992 = 376,992 : x
  2. Step 2: Convert to fraction form
    172,465/376,992 = 376,992/x
  3. Step 3: Cross multiply
    172,465x = 376,992 × 376,992
  4. Step 4: Simplify right side
    172,465x = 142,122,968,064
  5. Step 5: Solve for x
    x = 142,122,968,064/172,465
  6. Step 6: Final answer
    x = 824,068.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.