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Finding the Third Proportional to 130,419 and 285,745.50

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Solution

The third proportional to 130,419 and 285,745.50 is: 626,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,419 : 285,745.50 = 285,745.50 : x
  2. Step 2: Convert to fraction form
    130,419/285,745.50 = 285,745.50/x
  3. Step 3: Cross multiply
    130,419x = 285,745.50 × 285,745.50
  4. Step 4: Simplify right side
    130,419x = 81,650,490,770.25
  5. Step 5: Solve for x
    x = 81,650,490,770.25/130,419
  6. Step 6: Final answer
    x = 626,062.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.