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Finding the Third Proportional to 153,096.75 and 306,807.75

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Solution

The third proportional to 153,096.75 and 306,807.75 is: 614,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096.75 : 306,807.75 = 306,807.75 : x
  2. Step 2: Convert to fraction form
    153,096.75/306,807.75 = 306,807.75/x
  3. Step 3: Cross multiply
    153,096.75x = 306,807.75 × 306,807.75
  4. Step 4: Simplify right side
    153,096.75x = 94,130,995,460.06
  5. Step 5: Solve for x
    x = 94,130,995,460.06/153,096.75
  6. Step 6: Final answer
    x = 614,846.46

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.