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Finding the Third Proportional to 161,925 and 245,148

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Solution

The third proportional to 161,925 and 245,148 is: 371,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,925 : 245,148 = 245,148 : x
  2. Step 2: Convert to fraction form
    161,925/245,148 = 245,148/x
  3. Step 3: Cross multiply
    161,925x = 245,148 × 245,148
  4. Step 4: Simplify right side
    161,925x = 60,097,541,904
  5. Step 5: Solve for x
    x = 60,097,541,904/161,925
  6. Step 6: Final answer
    x = 371,144.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.