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Finding the Third Proportional to 177,751 and 249,994

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Solution

The third proportional to 177,751 and 249,994 is: 351,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,751 : 249,994 = 249,994 : x
  2. Step 2: Convert to fraction form
    177,751/249,994 = 249,994/x
  3. Step 3: Cross multiply
    177,751x = 249,994 × 249,994
  4. Step 4: Simplify right side
    177,751x = 62,497,000,036
  5. Step 5: Solve for x
    x = 62,497,000,036/177,751
  6. Step 6: Final answer
    x = 351,598.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.