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Finding the Third Proportional to 176,724 and 383,112

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Solution

The third proportional to 176,724 and 383,112 is: 830,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,724 : 383,112 = 383,112 : x
  2. Step 2: Convert to fraction form
    176,724/383,112 = 383,112/x
  3. Step 3: Cross multiply
    176,724x = 383,112 × 383,112
  4. Step 4: Simplify right side
    176,724x = 146,774,804,544
  5. Step 5: Solve for x
    x = 146,774,804,544/176,724
  6. Step 6: Final answer
    x = 830,531.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.