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Finding the Third Proportional to 116,660 and 249,843

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Solution

The third proportional to 116,660 and 249,843 is: 535,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,660 : 249,843 = 249,843 : x
  2. Step 2: Convert to fraction form
    116,660/249,843 = 249,843/x
  3. Step 3: Cross multiply
    116,660x = 249,843 × 249,843
  4. Step 4: Simplify right side
    116,660x = 62,421,524,649
  5. Step 5: Solve for x
    x = 62,421,524,649/116,660
  6. Step 6: Final answer
    x = 535,072.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.