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Finding the Third Proportional to 105,684.75 and 249,228.75

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Solution

The third proportional to 105,684.75 and 249,228.75 is: 587,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,684.75 : 249,228.75 = 249,228.75 : x
  2. Step 2: Convert to fraction form
    105,684.75/249,228.75 = 249,228.75/x
  3. Step 3: Cross multiply
    105,684.75x = 249,228.75 × 249,228.75
  4. Step 4: Simplify right side
    105,684.75x = 62,114,969,826.56
  5. Step 5: Solve for x
    x = 62,114,969,826.56/105,684.75
  6. Step 6: Final answer
    x = 587,738.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.