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Finding the Third Proportional to 164,037.38 and 256,991.63

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Solution

The third proportional to 164,037.38 and 256,991.63 is: 402,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,037.38 : 256,991.63 = 256,991.63 : x
  2. Step 2: Convert to fraction form
    164,037.38/256,991.63 = 256,991.63/x
  3. Step 3: Cross multiply
    164,037.38x = 256,991.63 × 256,991.63
  4. Step 4: Simplify right side
    164,037.38x = 66,044,695,320.14
  5. Step 5: Solve for x
    x = 66,044,695,320.14/164,037.38
  6. Step 6: Final answer
    x = 402,619.80

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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.