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Finding the Third Proportional to 174,818 and 377,284

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Solution

The third proportional to 174,818 and 377,284 is: 814,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,818 : 377,284 = 377,284 : x
  2. Step 2: Convert to fraction form
    174,818/377,284 = 377,284/x
  3. Step 3: Cross multiply
    174,818x = 377,284 × 377,284
  4. Step 4: Simplify right side
    174,818x = 142,343,216,656
  5. Step 5: Solve for x
    x = 142,343,216,656/174,818
  6. Step 6: Final answer
    x = 814,236.62

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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.