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Finding the Third Proportional to 153,233 and 324,895.50

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Solution

The third proportional to 153,233 and 324,895.50 is: 688,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,233 : 324,895.50 = 324,895.50 : x
  2. Step 2: Convert to fraction form
    153,233/324,895.50 = 324,895.50/x
  3. Step 3: Cross multiply
    153,233x = 324,895.50 × 324,895.50
  4. Step 4: Simplify right side
    153,233x = 105,557,085,920.25
  5. Step 5: Solve for x
    x = 105,557,085,920.25/153,233
  6. Step 6: Final answer
    x = 688,866.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.