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Finding the Third Proportional to 143,056 and 310,004

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Solution

The third proportional to 143,056 and 310,004 is: 671,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,056 : 310,004 = 310,004 : x
  2. Step 2: Convert to fraction form
    143,056/310,004 = 310,004/x
  3. Step 3: Cross multiply
    143,056x = 310,004 × 310,004
  4. Step 4: Simplify right side
    143,056x = 96,102,480,016
  5. Step 5: Solve for x
    x = 96,102,480,016/143,056
  6. Step 6: Final answer
    x = 671,782.24

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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.