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Finding the Third Proportional to 213,180 and 307,981.50

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Solution

The third proportional to 213,180 and 307,981.50 is: 444,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,180 : 307,981.50 = 307,981.50 : x
  2. Step 2: Convert to fraction form
    213,180/307,981.50 = 307,981.50/x
  3. Step 3: Cross multiply
    213,180x = 307,981.50 × 307,981.50
  4. Step 4: Simplify right side
    213,180x = 94,852,604,342.25
  5. Step 5: Solve for x
    x = 94,852,604,342.25/213,180
  6. Step 6: Final answer
    x = 444,941.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.