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Finding the Third Proportional to 199,688 and 435,968

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Solution

The third proportional to 199,688 and 435,968 is: 951,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,688 : 435,968 = 435,968 : x
  2. Step 2: Convert to fraction form
    199,688/435,968 = 435,968/x
  3. Step 3: Cross multiply
    199,688x = 435,968 × 435,968
  4. Step 4: Simplify right side
    199,688x = 190,068,097,024
  5. Step 5: Solve for x
    x = 190,068,097,024/199,688
  6. Step 6: Final answer
    x = 951,825.33

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Why These Related Problems?

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