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Finding the Third Proportional to 105,735.50 and 249,515

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Solution

The third proportional to 105,735.50 and 249,515 is: 588,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735.50 : 249,515 = 249,515 : x
  2. Step 2: Convert to fraction form
    105,735.50/249,515 = 249,515/x
  3. Step 3: Cross multiply
    105,735.50x = 249,515 × 249,515
  4. Step 4: Simplify right side
    105,735.50x = 62,257,735,225
  5. Step 5: Solve for x
    x = 62,257,735,225/105,735.50
  6. Step 6: Final answer
    x = 588,806.36

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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.