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Finding the Third Proportional to 225,576 and 317,382

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Solution

The third proportional to 225,576 and 317,382 is: 446,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,576 : 317,382 = 317,382 : x
  2. Step 2: Convert to fraction form
    225,576/317,382 = 317,382/x
  3. Step 3: Cross multiply
    225,576x = 317,382 × 317,382
  4. Step 4: Simplify right side
    225,576x = 100,731,333,924
  5. Step 5: Solve for x
    x = 100,731,333,924/225,576
  6. Step 6: Final answer
    x = 446,551.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.