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Finding the Third Proportional to 151,117 and 317,749

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Solution

The third proportional to 151,117 and 317,749 is: 668,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,117 : 317,749 = 317,749 : x
  2. Step 2: Convert to fraction form
    151,117/317,749 = 317,749/x
  3. Step 3: Cross multiply
    151,117x = 317,749 × 317,749
  4. Step 4: Simplify right side
    151,117x = 100,964,427,001
  5. Step 5: Solve for x
    x = 100,964,427,001/151,117
  6. Step 6: Final answer
    x = 668,120.91

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