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Finding the Third Proportional to 174,322 and 376,290

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Solution

The third proportional to 174,322 and 376,290 is: 812,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,322 : 376,290 = 376,290 : x
  2. Step 2: Convert to fraction form
    174,322/376,290 = 376,290/x
  3. Step 3: Cross multiply
    174,322x = 376,290 × 376,290
  4. Step 4: Simplify right side
    174,322x = 141,594,164,100
  5. Step 5: Solve for x
    x = 141,594,164,100/174,322
  6. Step 6: Final answer
    x = 812,256.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.