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Finding the Third Proportional to 142,322.50 and 308,021

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Solution

The third proportional to 142,322.50 and 308,021 is: 666,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,322.50 : 308,021 = 308,021 : x
  2. Step 2: Convert to fraction form
    142,322.50/308,021 = 308,021/x
  3. Step 3: Cross multiply
    142,322.50x = 308,021 × 308,021
  4. Step 4: Simplify right side
    142,322.50x = 94,876,936,441
  5. Step 5: Solve for x
    x = 94,876,936,441/142,322.50
  6. Step 6: Final answer
    x = 666,633.43

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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.