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Finding the Third Proportional to 116,467 and 249,536

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Solution

The third proportional to 116,467 and 249,536 is: 534,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,467 : 249,536 = 249,536 : x
  2. Step 2: Convert to fraction form
    116,467/249,536 = 249,536/x
  3. Step 3: Cross multiply
    116,467x = 249,536 × 249,536
  4. Step 4: Simplify right side
    116,467x = 62,268,215,296
  5. Step 5: Solve for x
    x = 62,268,215,296/116,467
  6. Step 6: Final answer
    x = 534,642.56

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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.