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Finding the Third Proportional to 164,034 and 256,986

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Solution

The third proportional to 164,034 and 256,986 is: 402,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034 : 256,986 = 256,986 : x
  2. Step 2: Convert to fraction form
    164,034/256,986 = 256,986/x
  3. Step 3: Cross multiply
    164,034x = 256,986 × 256,986
  4. Step 4: Simplify right side
    164,034x = 66,041,804,196
  5. Step 5: Solve for x
    x = 66,041,804,196/164,034
  6. Step 6: Final answer
    x = 402,610.46

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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.