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Finding the Third Proportional to 255,217.50 and 384,799.50

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Solution

The third proportional to 255,217.50 and 384,799.50 is: 580,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,217.50 : 384,799.50 = 384,799.50 : x
  2. Step 2: Convert to fraction form
    255,217.50/384,799.50 = 384,799.50/x
  3. Step 3: Cross multiply
    255,217.50x = 384,799.50 × 384,799.50
  4. Step 4: Simplify right side
    255,217.50x = 148,070,655,200.25
  5. Step 5: Solve for x
    x = 148,070,655,200.25/255,217.50
  6. Step 6: Final answer
    x = 580,174.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.