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Finding the Third Proportional to 116,950 and 249,896

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Solution

The third proportional to 116,950 and 249,896 is: 533,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,950 : 249,896 = 249,896 : x
  2. Step 2: Convert to fraction form
    116,950/249,896 = 249,896/x
  3. Step 3: Cross multiply
    116,950x = 249,896 × 249,896
  4. Step 4: Simplify right side
    116,950x = 62,448,010,816
  5. Step 5: Solve for x
    x = 62,448,010,816/116,950
  6. Step 6: Final answer
    x = 533,971.88

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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.