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Finding the Third Proportional to 146,804 and 233,329

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Solution

The third proportional to 146,804 and 233,329 is: 370,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,804 : 233,329 = 233,329 : x
  2. Step 2: Convert to fraction form
    146,804/233,329 = 233,329/x
  3. Step 3: Cross multiply
    146,804x = 233,329 × 233,329
  4. Step 4: Simplify right side
    146,804x = 54,442,422,241
  5. Step 5: Solve for x
    x = 54,442,422,241/146,804
  6. Step 6: Final answer
    x = 370,851.08

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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.