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Finding the Third Proportional to 116,481 and 249,573

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Solution

The third proportional to 116,481 and 249,573 is: 534,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,481 : 249,573 = 249,573 : x
  2. Step 2: Convert to fraction form
    116,481/249,573 = 249,573/x
  3. Step 3: Cross multiply
    116,481x = 249,573 × 249,573
  4. Step 4: Simplify right side
    116,481x = 62,286,682,329
  5. Step 5: Solve for x
    x = 62,286,682,329/116,481
  6. Step 6: Final answer
    x = 534,736.84

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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.