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Finding the Third Proportional to 130,146.75 and 263,915.63

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Solution

The third proportional to 130,146.75 and 263,915.63 is: 535,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,146.75 : 263,915.63 = 263,915.63 : x
  2. Step 2: Convert to fraction form
    130,146.75/263,915.63 = 263,915.63/x
  3. Step 3: Cross multiply
    130,146.75x = 263,915.63 × 263,915.63
  4. Step 4: Simplify right side
    130,146.75x = 69,651,457,119.14
  5. Step 5: Solve for x
    x = 69,651,457,119.14/130,146.75
  6. Step 6: Final answer
    x = 535,176.31

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.