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Finding the Third Proportional to 131,857.88 and 289,048.50

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Solution

The third proportional to 131,857.88 and 289,048.50 is: 633,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,857.88 : 289,048.50 = 289,048.50 : x
  2. Step 2: Convert to fraction form
    131,857.88/289,048.50 = 289,048.50/x
  3. Step 3: Cross multiply
    131,857.88x = 289,048.50 × 289,048.50
  4. Step 4: Simplify right side
    131,857.88x = 83,549,035,352.25
  5. Step 5: Solve for x
    x = 83,549,035,352.25/131,857.88
  6. Step 6: Final answer
    x = 633,629.47

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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.