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Finding the Third Proportional to 175,283 and 383,736

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Solution

The third proportional to 175,283 and 383,736 is: 840,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,283 : 383,736 = 383,736 : x
  2. Step 2: Convert to fraction form
    175,283/383,736 = 383,736/x
  3. Step 3: Cross multiply
    175,283x = 383,736 × 383,736
  4. Step 4: Simplify right side
    175,283x = 147,253,317,696
  5. Step 5: Solve for x
    x = 147,253,317,696/175,283
  6. Step 6: Final answer
    x = 840,088.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.