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Finding the Third Proportional to 164,063 and 257,031

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Solution

The third proportional to 164,063 and 257,031 is: 402,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,063 : 257,031 = 257,031 : x
  2. Step 2: Convert to fraction form
    164,063/257,031 = 257,031/x
  3. Step 3: Cross multiply
    164,063x = 257,031 × 257,031
  4. Step 4: Simplify right side
    164,063x = 66,064,934,961
  5. Step 5: Solve for x
    x = 66,064,934,961/164,063
  6. Step 6: Final answer
    x = 402,680.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.