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Finding the Third Proportional to 143,004 and 213,750

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Solution

The third proportional to 143,004 and 213,750 is: 319,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,004 : 213,750 = 213,750 : x
  2. Step 2: Convert to fraction form
    143,004/213,750 = 213,750/x
  3. Step 3: Cross multiply
    143,004x = 213,750 × 213,750
  4. Step 4: Simplify right side
    143,004x = 45,689,062,500
  5. Step 5: Solve for x
    x = 45,689,062,500/143,004
  6. Step 6: Final answer
    x = 319,495.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.