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Finding the Third Proportional to 249,857.25 and 383,811.38

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Solution

The third proportional to 249,857.25 and 383,811.38 is: 589,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,857.25 : 383,811.38 = 383,811.38 : x
  2. Step 2: Convert to fraction form
    249,857.25/383,811.38 = 383,811.38/x
  3. Step 3: Cross multiply
    249,857.25x = 383,811.38 × 383,811.38
  4. Step 4: Simplify right side
    249,857.25x = 147,311,171,579.39
  5. Step 5: Solve for x
    x = 147,311,171,579.39/249,857.25
  6. Step 6: Final answer
    x = 589,581.34

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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.