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Finding the Third Proportional to 173,106 and 372,852

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Solution

The third proportional to 173,106 and 372,852 is: 803,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,106 : 372,852 = 372,852 : x
  2. Step 2: Convert to fraction form
    173,106/372,852 = 372,852/x
  3. Step 3: Cross multiply
    173,106x = 372,852 × 372,852
  4. Step 4: Simplify right side
    173,106x = 139,018,613,904
  5. Step 5: Solve for x
    x = 139,018,613,904/173,106
  6. Step 6: Final answer
    x = 803,083.74

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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.