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Finding the Third Proportional to 257,094 and 395,416

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Solution

The third proportional to 257,094 and 395,416 is: 608,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,094 : 395,416 = 395,416 : x
  2. Step 2: Convert to fraction form
    257,094/395,416 = 395,416/x
  3. Step 3: Cross multiply
    257,094x = 395,416 × 395,416
  4. Step 4: Simplify right side
    257,094x = 156,353,813,056
  5. Step 5: Solve for x
    x = 156,353,813,056/257,094
  6. Step 6: Final answer
    x = 608,158.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.