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Finding the Third Proportional to 213,172 and 328,046

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Solution

The third proportional to 213,172 and 328,046 is: 504,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,172 : 328,046 = 328,046 : x
  2. Step 2: Convert to fraction form
    213,172/328,046 = 328,046/x
  3. Step 3: Cross multiply
    213,172x = 328,046 × 328,046
  4. Step 4: Simplify right side
    213,172x = 107,614,178,116
  5. Step 5: Solve for x
    x = 107,614,178,116/213,172
  6. Step 6: Final answer
    x = 504,823.23

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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.