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Finding the Third Proportional to 211,033 and 302,296

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Solution

The third proportional to 211,033 and 302,296 is: 433,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,033 : 302,296 = 302,296 : x
  2. Step 2: Convert to fraction form
    211,033/302,296 = 302,296/x
  3. Step 3: Cross multiply
    211,033x = 302,296 × 302,296
  4. Step 4: Simplify right side
    211,033x = 91,382,871,616
  5. Step 5: Solve for x
    x = 91,382,871,616/211,033
  6. Step 6: Final answer
    x = 433,026.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.