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Finding the Third Proportional to 174,955 and 246,541

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Solution

The third proportional to 174,955 and 246,541 is: 347,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,955 : 246,541 = 246,541 : x
  2. Step 2: Convert to fraction form
    174,955/246,541 = 246,541/x
  3. Step 3: Cross multiply
    174,955x = 246,541 × 246,541
  4. Step 4: Simplify right side
    174,955x = 60,782,464,681
  5. Step 5: Solve for x
    x = 60,782,464,681/174,955
  6. Step 6: Final answer
    x = 347,417.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.