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Finding the Third Proportional to 146,088 and 219,300

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Solution

The third proportional to 146,088 and 219,300 is: 329,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,088 : 219,300 = 219,300 : x
  2. Step 2: Convert to fraction form
    146,088/219,300 = 219,300/x
  3. Step 3: Cross multiply
    146,088x = 219,300 × 219,300
  4. Step 4: Simplify right side
    146,088x = 48,092,490,000
  5. Step 5: Solve for x
    x = 48,092,490,000/146,088
  6. Step 6: Final answer
    x = 329,202.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.