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Finding the Third Proportional to 147,158.25 and 317,838

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Solution

The third proportional to 147,158.25 and 317,838 is: 686,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,158.25 : 317,838 = 317,838 : x
  2. Step 2: Convert to fraction form
    147,158.25/317,838 = 317,838/x
  3. Step 3: Cross multiply
    147,158.25x = 317,838 × 317,838
  4. Step 4: Simplify right side
    147,158.25x = 101,020,994,244
  5. Step 5: Solve for x
    x = 101,020,994,244/147,158.25
  6. Step 6: Final answer
    x = 686,478.63

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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.