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Finding the Third Proportional to 164,490.75 and 358,728.75

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Solution

The third proportional to 164,490.75 and 358,728.75 is: 782,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,490.75 : 358,728.75 = 358,728.75 : x
  2. Step 2: Convert to fraction form
    164,490.75/358,728.75 = 358,728.75/x
  3. Step 3: Cross multiply
    164,490.75x = 358,728.75 × 358,728.75
  4. Step 4: Simplify right side
    164,490.75x = 128,686,316,076.56
  5. Step 5: Solve for x
    x = 128,686,316,076.56/164,490.75
  6. Step 6: Final answer
    x = 782,331.63

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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.