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Finding the Third Proportional to 150,773 and 317,043

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Solution

The third proportional to 150,773 and 317,043 is: 666,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,773 : 317,043 = 317,043 : x
  2. Step 2: Convert to fraction form
    150,773/317,043 = 317,043/x
  3. Step 3: Cross multiply
    150,773x = 317,043 × 317,043
  4. Step 4: Simplify right side
    150,773x = 100,516,263,849
  5. Step 5: Solve for x
    x = 100,516,263,849/150,773
  6. Step 6: Final answer
    x = 666,672.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.