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Finding the Third Proportional to 143,004 and 304,998

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Solution

The third proportional to 143,004 and 304,998 is: 650,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,004 : 304,998 = 304,998 : x
  2. Step 2: Convert to fraction form
    143,004/304,998 = 304,998/x
  3. Step 3: Cross multiply
    143,004x = 304,998 × 304,998
  4. Step 4: Simplify right side
    143,004x = 93,023,780,004
  5. Step 5: Solve for x
    x = 93,023,780,004/143,004
  6. Step 6: Final answer
    x = 650,497.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.