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Finding the Third Proportional to 164,885.63 and 338,509.13

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Solution

The third proportional to 164,885.63 and 338,509.13 is: 694,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,885.63 : 338,509.13 = 338,509.13 : x
  2. Step 2: Convert to fraction form
    164,885.63/338,509.13 = 338,509.13/x
  3. Step 3: Cross multiply
    164,885.63x = 338,509.13 × 338,509.13
  4. Step 4: Simplify right side
    164,885.63x = 114,588,427,708.27
  5. Step 5: Solve for x
    x = 114,588,427,708.27/164,885.63
  6. Step 6: Final answer
    x = 694,957.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.