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Finding the Third Proportional to 230,895 and 334,102.50

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Solution

The third proportional to 230,895 and 334,102.50 is: 483,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,895 : 334,102.50 = 334,102.50 : x
  2. Step 2: Convert to fraction form
    230,895/334,102.50 = 334,102.50/x
  3. Step 3: Cross multiply
    230,895x = 334,102.50 × 334,102.50
  4. Step 4: Simplify right side
    230,895x = 111,624,480,506.25
  5. Step 5: Solve for x
    x = 111,624,480,506.25/230,895
  6. Step 6: Final answer
    x = 483,442.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.