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Finding the Third Proportional to 142,024.50 and 213,403.50

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Solution

The third proportional to 142,024.50 and 213,403.50 is: 320,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,024.50 : 213,403.50 = 213,403.50 : x
  2. Step 2: Convert to fraction form
    142,024.50/213,403.50 = 213,403.50/x
  3. Step 3: Cross multiply
    142,024.50x = 213,403.50 × 213,403.50
  4. Step 4: Simplify right side
    142,024.50x = 45,541,053,812.25
  5. Step 5: Solve for x
    x = 45,541,053,812.25/142,024.50
  6. Step 6: Final answer
    x = 320,656.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.