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Finding the Third Proportional to 217,488 and 316,764

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Solution

The third proportional to 217,488 and 316,764 is: 461,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,488 : 316,764 = 316,764 : x
  2. Step 2: Convert to fraction form
    217,488/316,764 = 316,764/x
  3. Step 3: Cross multiply
    217,488x = 316,764 × 316,764
  4. Step 4: Simplify right side
    217,488x = 100,339,431,696
  5. Step 5: Solve for x
    x = 100,339,431,696/217,488
  6. Step 6: Final answer
    x = 461,356.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.