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Finding the Third Proportional to 216,768 and 333,445

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Solution

The third proportional to 216,768 and 333,445 is: 512,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,768 : 333,445 = 333,445 : x
  2. Step 2: Convert to fraction form
    216,768/333,445 = 333,445/x
  3. Step 3: Cross multiply
    216,768x = 333,445 × 333,445
  4. Step 4: Simplify right side
    216,768x = 111,185,568,025
  5. Step 5: Solve for x
    x = 111,185,568,025/216,768
  6. Step 6: Final answer
    x = 512,924.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.