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Finding the Third Proportional to 115,005 and 235,747.50

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Solution

The third proportional to 115,005 and 235,747.50 is: 483,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,005 : 235,747.50 = 235,747.50 : x
  2. Step 2: Convert to fraction form
    115,005/235,747.50 = 235,747.50/x
  3. Step 3: Cross multiply
    115,005x = 235,747.50 × 235,747.50
  4. Step 4: Simplify right side
    115,005x = 55,576,883,756.25
  5. Step 5: Solve for x
    x = 55,576,883,756.25/115,005
  6. Step 6: Final answer
    x = 483,256.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.