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Finding the Third Proportional to 116,674 and 249,925

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Solution

The third proportional to 116,674 and 249,925 is: 535,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,674 : 249,925 = 249,925 : x
  2. Step 2: Convert to fraction form
    116,674/249,925 = 249,925/x
  3. Step 3: Cross multiply
    116,674x = 249,925 × 249,925
  4. Step 4: Simplify right side
    116,674x = 62,462,505,625
  5. Step 5: Solve for x
    x = 62,462,505,625/116,674
  6. Step 6: Final answer
    x = 535,359.25

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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.