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Finding the Third Proportional to 177,754 and 249,999

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Solution

The third proportional to 177,754 and 249,999 is: 351,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,754 : 249,999 = 249,999 : x
  2. Step 2: Convert to fraction form
    177,754/249,999 = 249,999/x
  3. Step 3: Cross multiply
    177,754x = 249,999 × 249,999
  4. Step 4: Simplify right side
    177,754x = 62,499,500,001
  5. Step 5: Solve for x
    x = 62,499,500,001/177,754
  6. Step 6: Final answer
    x = 351,606.71

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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.