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Finding the Third Proportional to 146,709.47 and 309,180.72

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Solution

The third proportional to 146,709.47 and 309,180.72 is: 651,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,709.47 : 309,180.72 = 309,180.72 : x
  2. Step 2: Convert to fraction form
    146,709.47/309,180.72 = 309,180.72/x
  3. Step 3: Cross multiply
    146,709.47x = 309,180.72 × 309,180.72
  4. Step 4: Simplify right side
    146,709.47x = 95,592,716,242.89
  5. Step 5: Solve for x
    x = 95,592,716,242.89/146,709.47
  6. Step 6: Final answer
    x = 651,578.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.