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Finding the Third Proportional to 146,453.50 and 234,421

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Solution

The third proportional to 146,453.50 and 234,421 is: 375,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,453.50 : 234,421 = 234,421 : x
  2. Step 2: Convert to fraction form
    146,453.50/234,421 = 234,421/x
  3. Step 3: Cross multiply
    146,453.50x = 234,421 × 234,421
  4. Step 4: Simplify right side
    146,453.50x = 54,953,205,241
  5. Step 5: Solve for x
    x = 54,953,205,241/146,453.50
  6. Step 6: Final answer
    x = 375,226.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.