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Finding the Third Proportional to 131,301.75 and 288,024

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Solution

The third proportional to 131,301.75 and 288,024 is: 631,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301.75 : 288,024 = 288,024 : x
  2. Step 2: Convert to fraction form
    131,301.75/288,024 = 288,024/x
  3. Step 3: Cross multiply
    131,301.75x = 288,024 × 288,024
  4. Step 4: Simplify right side
    131,301.75x = 82,957,824,576
  5. Step 5: Solve for x
    x = 82,957,824,576/131,301.75
  6. Step 6: Final answer
    x = 631,810.50

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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.