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Finding the Third Proportional to 176,974 and 382,122.50

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Solution

The third proportional to 176,974 and 382,122.50 is: 825,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,974 : 382,122.50 = 382,122.50 : x
  2. Step 2: Convert to fraction form
    176,974/382,122.50 = 382,122.50/x
  3. Step 3: Cross multiply
    176,974x = 382,122.50 × 382,122.50
  4. Step 4: Simplify right side
    176,974x = 146,017,605,006.25
  5. Step 5: Solve for x
    x = 146,017,605,006.25/176,974
  6. Step 6: Final answer
    x = 825,079.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.