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Finding the Third Proportional to 197,672 and 435,664

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Solution

The third proportional to 197,672 and 435,664 is: 960,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,672 : 435,664 = 435,664 : x
  2. Step 2: Convert to fraction form
    197,672/435,664 = 435,664/x
  3. Step 3: Cross multiply
    197,672x = 435,664 × 435,664
  4. Step 4: Simplify right side
    197,672x = 189,803,120,896
  5. Step 5: Solve for x
    x = 189,803,120,896/197,672
  6. Step 6: Final answer
    x = 960,192.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.