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Finding the Third Proportional to 164,046 and 257,001

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Solution

The third proportional to 164,046 and 257,001 is: 402,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046 : 257,001 = 257,001 : x
  2. Step 2: Convert to fraction form
    164,046/257,001 = 257,001/x
  3. Step 3: Cross multiply
    164,046x = 257,001 × 257,001
  4. Step 4: Simplify right side
    164,046x = 66,049,514,001
  5. Step 5: Solve for x
    x = 66,049,514,001/164,046
  6. Step 6: Final answer
    x = 402,628.01

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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.