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Finding the Third Proportional to 177,748 and 282,679

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Solution

The third proportional to 177,748 and 282,679 is: 449,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,748 : 282,679 = 282,679 : x
  2. Step 2: Convert to fraction form
    177,748/282,679 = 282,679/x
  3. Step 3: Cross multiply
    177,748x = 282,679 × 282,679
  4. Step 4: Simplify right side
    177,748x = 79,907,417,041
  5. Step 5: Solve for x
    x = 79,907,417,041/177,748
  6. Step 6: Final answer
    x = 449,554.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.