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Finding the Third Proportional to 115,434 and 275,098.50

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Solution

The third proportional to 115,434 and 275,098.50 is: 655,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,434 : 275,098.50 = 275,098.50 : x
  2. Step 2: Convert to fraction form
    115,434/275,098.50 = 275,098.50/x
  3. Step 3: Cross multiply
    115,434x = 275,098.50 × 275,098.50
  4. Step 4: Simplify right side
    115,434x = 75,679,184,702.25
  5. Step 5: Solve for x
    x = 75,679,184,702.25/115,434
  6. Step 6: Final answer
    x = 655,605.67

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.