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Finding the Third Proportional to 254,250 and 344,913

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Solution

The third proportional to 254,250 and 344,913 is: 467,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,250 : 344,913 = 344,913 : x
  2. Step 2: Convert to fraction form
    254,250/344,913 = 344,913/x
  3. Step 3: Cross multiply
    254,250x = 344,913 × 344,913
  4. Step 4: Simplify right side
    254,250x = 118,964,977,569
  5. Step 5: Solve for x
    x = 118,964,977,569/254,250
  6. Step 6: Final answer
    x = 467,905.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.