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Finding the Third Proportional to 174,716 and 374,362

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Solution

The third proportional to 174,716 and 374,362 is: 802,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,716 : 374,362 = 374,362 : x
  2. Step 2: Convert to fraction form
    174,716/374,362 = 374,362/x
  3. Step 3: Cross multiply
    174,716x = 374,362 × 374,362
  4. Step 4: Simplify right side
    174,716x = 140,146,907,044
  5. Step 5: Solve for x
    x = 140,146,907,044/174,716
  6. Step 6: Final answer
    x = 802,141.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.