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Finding the Third Proportional to 142,024.50 and 308,187

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Solution

The third proportional to 142,024.50 and 308,187 is: 668,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,024.50 : 308,187 = 308,187 : x
  2. Step 2: Convert to fraction form
    142,024.50/308,187 = 308,187/x
  3. Step 3: Cross multiply
    142,024.50x = 308,187 × 308,187
  4. Step 4: Simplify right side
    142,024.50x = 94,979,226,969
  5. Step 5: Solve for x
    x = 94,979,226,969/142,024.50
  6. Step 6: Final answer
    x = 668,752.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.