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Finding the Third Proportional to 213,345 and 286,267.50

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Solution

The third proportional to 213,345 and 286,267.50 is: 384,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,345 : 286,267.50 = 286,267.50 : x
  2. Step 2: Convert to fraction form
    213,345/286,267.50 = 286,267.50/x
  3. Step 3: Cross multiply
    213,345x = 286,267.50 × 286,267.50
  4. Step 4: Simplify right side
    213,345x = 81,949,081,556.25
  5. Step 5: Solve for x
    x = 81,949,081,556.25/213,345
  6. Step 6: Final answer
    x = 384,115.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.