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Finding the Third Proportional to 115,110.50 and 249,907

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Solution

The third proportional to 115,110.50 and 249,907 is: 542,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,110.50 : 249,907 = 249,907 : x
  2. Step 2: Convert to fraction form
    115,110.50/249,907 = 249,907/x
  3. Step 3: Cross multiply
    115,110.50x = 249,907 × 249,907
  4. Step 4: Simplify right side
    115,110.50x = 62,453,508,649
  5. Step 5: Solve for x
    x = 62,453,508,649/115,110.50
  6. Step 6: Final answer
    x = 542,552.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.