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Finding the Third Proportional to 254,685 and 344,655

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Solution

The third proportional to 254,685 and 344,655 is: 466,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,685 : 344,655 = 344,655 : x
  2. Step 2: Convert to fraction form
    254,685/344,655 = 344,655/x
  3. Step 3: Cross multiply
    254,685x = 344,655 × 344,655
  4. Step 4: Simplify right side
    254,685x = 118,787,069,025
  5. Step 5: Solve for x
    x = 118,787,069,025/254,685
  6. Step 6: Final answer
    x = 466,407.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.