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Finding the Third Proportional to 118,252 and 249,824

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Solution

The third proportional to 118,252 and 249,824 is: 527,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,252 : 249,824 = 249,824 : x
  2. Step 2: Convert to fraction form
    118,252/249,824 = 249,824/x
  3. Step 3: Cross multiply
    118,252x = 249,824 × 249,824
  4. Step 4: Simplify right side
    118,252x = 62,412,030,976
  5. Step 5: Solve for x
    x = 62,412,030,976/118,252
  6. Step 6: Final answer
    x = 527,788.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.