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Finding the Third Proportional to 147,118.50 and 317,565

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Solution

The third proportional to 147,118.50 and 317,565 is: 685,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,118.50 : 317,565 = 317,565 : x
  2. Step 2: Convert to fraction form
    147,118.50/317,565 = 317,565/x
  3. Step 3: Cross multiply
    147,118.50x = 317,565 × 317,565
  4. Step 4: Simplify right side
    147,118.50x = 100,847,529,225
  5. Step 5: Solve for x
    x = 100,847,529,225/147,118.50
  6. Step 6: Final answer
    x = 685,485.03

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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.