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Finding the Third Proportional to 175,035.94 and 254,899.41

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Solution

The third proportional to 175,035.94 and 254,899.41 is: 371,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,035.94 : 254,899.41 = 254,899.41 : x
  2. Step 2: Convert to fraction form
    175,035.94/254,899.41 = 254,899.41/x
  3. Step 3: Cross multiply
    175,035.94x = 254,899.41 × 254,899.41
  4. Step 4: Simplify right side
    175,035.94x = 64,973,707,306.60
  5. Step 5: Solve for x
    x = 64,973,707,306.60/175,035.94
  6. Step 6: Final answer
    x = 371,202.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.