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Finding the Third Proportional to 255,195 and 557,083.50

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Solution

The third proportional to 255,195 and 557,083.50 is: 1,216,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,195 : 557,083.50 = 557,083.50 : x
  2. Step 2: Convert to fraction form
    255,195/557,083.50 = 557,083.50/x
  3. Step 3: Cross multiply
    255,195x = 557,083.50 × 557,083.50
  4. Step 4: Simplify right side
    255,195x = 310,342,025,972.25
  5. Step 5: Solve for x
    x = 310,342,025,972.25/255,195
  6. Step 6: Final answer
    x = 1,216,097.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.