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Finding the Third Proportional to 204,028.88 and 390,055.50

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Solution

The third proportional to 204,028.88 and 390,055.50 is: 745,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,028.88 : 390,055.50 = 390,055.50 : x
  2. Step 2: Convert to fraction form
    204,028.88/390,055.50 = 390,055.50/x
  3. Step 3: Cross multiply
    204,028.88x = 390,055.50 × 390,055.50
  4. Step 4: Simplify right side
    204,028.88x = 152,143,293,080.25
  5. Step 5: Solve for x
    x = 152,143,293,080.25/204,028.88
  6. Step 6: Final answer
    x = 745,694.91

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.