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Finding the Third Proportional to 147,141 and 317,610

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Solution

The third proportional to 147,141 and 317,610 is: 685,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,141 : 317,610 = 317,610 : x
  2. Step 2: Convert to fraction form
    147,141/317,610 = 317,610/x
  3. Step 3: Cross multiply
    147,141x = 317,610 × 317,610
  4. Step 4: Simplify right side
    147,141x = 100,876,112,100
  5. Step 5: Solve for x
    x = 100,876,112,100/147,141
  6. Step 6: Final answer
    x = 685,574.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.