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Finding the Third Proportional to 164,313.56 and 253,737.56

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Solution

The third proportional to 164,313.56 and 253,737.56 is: 391,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,313.56 : 253,737.56 = 253,737.56 : x
  2. Step 2: Convert to fraction form
    164,313.56/253,737.56 = 253,737.56/x
  3. Step 3: Cross multiply
    164,313.56x = 253,737.56 × 253,737.56
  4. Step 4: Simplify right side
    164,313.56x = 64,382,750,623.44
  5. Step 5: Solve for x
    x = 64,382,750,623.44/164,313.56
  6. Step 6: Final answer
    x = 391,828.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.