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Finding the Third Proportional to 152,922.94 and 252,735.19

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Solution

The third proportional to 152,922.94 and 252,735.19 is: 417,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,922.94 : 252,735.19 = 252,735.19 : x
  2. Step 2: Convert to fraction form
    152,922.94/252,735.19 = 252,735.19/x
  3. Step 3: Cross multiply
    152,922.94x = 252,735.19 × 252,735.19
  4. Step 4: Simplify right side
    152,922.94x = 63,875,075,000.66
  5. Step 5: Solve for x
    x = 63,875,075,000.66/152,922.94
  6. Step 6: Final answer
    x = 417,694.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.