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Finding the Third Proportional to 164,063.25 and 257,029.50

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Solution

The third proportional to 164,063.25 and 257,029.50 is: 402,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,063.25 : 257,029.50 = 257,029.50 : x
  2. Step 2: Convert to fraction form
    164,063.25/257,029.50 = 257,029.50/x
  3. Step 3: Cross multiply
    164,063.25x = 257,029.50 × 257,029.50
  4. Step 4: Simplify right side
    164,063.25x = 66,064,163,870.25
  5. Step 5: Solve for x
    x = 66,064,163,870.25/164,063.25
  6. Step 6: Final answer
    x = 402,674.97

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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.