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Finding the Third Proportional to 145,660.75 and 317,800.75

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Solution

The third proportional to 145,660.75 and 317,800.75 is: 693,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,660.75 : 317,800.75 = 317,800.75 : x
  2. Step 2: Convert to fraction form
    145,660.75/317,800.75 = 317,800.75/x
  3. Step 3: Cross multiply
    145,660.75x = 317,800.75 × 317,800.75
  4. Step 4: Simplify right side
    145,660.75x = 100,997,316,700.56
  5. Step 5: Solve for x
    x = 100,997,316,700.56/145,660.75
  6. Step 6: Final answer
    x = 693,373.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.