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Finding the Third Proportional to 164,126 and 257,133

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Solution

The third proportional to 164,126 and 257,133 is: 402,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,126 : 257,133 = 257,133 : x
  2. Step 2: Convert to fraction form
    164,126/257,133 = 257,133/x
  3. Step 3: Cross multiply
    164,126x = 257,133 × 257,133
  4. Step 4: Simplify right side
    164,126x = 66,117,379,689
  5. Step 5: Solve for x
    x = 66,117,379,689/164,126
  6. Step 6: Final answer
    x = 402,845.25

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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.