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Finding the Third Proportional to 172,948 and 372,575

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Solution

The third proportional to 172,948 and 372,575 is: 802,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,948 : 372,575 = 372,575 : x
  2. Step 2: Convert to fraction form
    172,948/372,575 = 372,575/x
  3. Step 3: Cross multiply
    172,948x = 372,575 × 372,575
  4. Step 4: Simplify right side
    172,948x = 138,812,130,625
  5. Step 5: Solve for x
    x = 138,812,130,625/172,948
  6. Step 6: Final answer
    x = 802,623.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.