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Finding the Third Proportional to 183,552 and 282,336

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Solution

The third proportional to 183,552 and 282,336 is: 434,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,552 : 282,336 = 282,336 : x
  2. Step 2: Convert to fraction form
    183,552/282,336 = 282,336/x
  3. Step 3: Cross multiply
    183,552x = 282,336 × 282,336
  4. Step 4: Simplify right side
    183,552x = 79,713,616,896
  5. Step 5: Solve for x
    x = 79,713,616,896/183,552
  6. Step 6: Final answer
    x = 434,283.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.