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Finding the Third Proportional to 175,283 and 383,014

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Solution

The third proportional to 175,283 and 383,014 is: 836,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,283 : 383,014 = 383,014 : x
  2. Step 2: Convert to fraction form
    175,283/383,014 = 383,014/x
  3. Step 3: Cross multiply
    175,283x = 383,014 × 383,014
  4. Step 4: Simplify right side
    175,283x = 146,699,724,196
  5. Step 5: Solve for x
    x = 146,699,724,196/175,283
  6. Step 6: Final answer
    x = 836,930.70

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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.