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Finding the Third Proportional to 136,572 and 298,050

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Solution

The third proportional to 136,572 and 298,050 is: 650,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,572 : 298,050 = 298,050 : x
  2. Step 2: Convert to fraction form
    136,572/298,050 = 298,050/x
  3. Step 3: Cross multiply
    136,572x = 298,050 × 298,050
  4. Step 4: Simplify right side
    136,572x = 88,833,802,500
  5. Step 5: Solve for x
    x = 88,833,802,500/136,572
  6. Step 6: Final answer
    x = 650,453.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.