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Finding the Third Proportional to 145,982.81 and 316,751.63

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Solution

The third proportional to 145,982.81 and 316,751.63 is: 687,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,982.81 : 316,751.63 = 316,751.63 : x
  2. Step 2: Convert to fraction form
    145,982.81/316,751.63 = 316,751.63/x
  3. Step 3: Cross multiply
    145,982.81x = 316,751.63 × 316,751.63
  4. Step 4: Simplify right side
    145,982.81x = 100,331,591,940.14
  5. Step 5: Solve for x
    x = 100,331,591,940.14/145,982.81
  6. Step 6: Final answer
    x = 687,283.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.