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Finding the Third Proportional to 254,677.50 and 344,648.25

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Solution

The third proportional to 254,677.50 and 344,648.25 is: 466,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,677.50 : 344,648.25 = 344,648.25 : x
  2. Step 2: Convert to fraction form
    254,677.50/344,648.25 = 344,648.25/x
  3. Step 3: Cross multiply
    254,677.50x = 344,648.25 × 344,648.25
  4. Step 4: Simplify right side
    254,677.50x = 118,782,416,228.06
  5. Step 5: Solve for x
    x = 118,782,416,228.06/254,677.50
  6. Step 6: Final answer
    x = 466,403.26

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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.