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Finding the Third Proportional to 146,730 and 233,226.75

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Solution

The third proportional to 146,730 and 233,226.75 is: 370,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,730 : 233,226.75 = 233,226.75 : x
  2. Step 2: Convert to fraction form
    146,730/233,226.75 = 233,226.75/x
  3. Step 3: Cross multiply
    146,730x = 233,226.75 × 233,226.75
  4. Step 4: Simplify right side
    146,730x = 54,394,716,915.56
  5. Step 5: Solve for x
    x = 54,394,716,915.56/146,730
  6. Step 6: Final answer
    x = 370,712.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.