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Finding the Third Proportional to 182,828 and 282,534

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Solution

The third proportional to 182,828 and 282,534 is: 436,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,828 : 282,534 = 282,534 : x
  2. Step 2: Convert to fraction form
    182,828/282,534 = 282,534/x
  3. Step 3: Cross multiply
    182,828x = 282,534 × 282,534
  4. Step 4: Simplify right side
    182,828x = 79,825,461,156
  5. Step 5: Solve for x
    x = 79,825,461,156/182,828
  6. Step 6: Final answer
    x = 436,615.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.