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Finding the Third Proportional to 164,359.13 and 353,246.06

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Solution

The third proportional to 164,359.13 and 353,246.06 is: 759,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,359.13 : 353,246.06 = 353,246.06 : x
  2. Step 2: Convert to fraction form
    164,359.13/353,246.06 = 353,246.06/x
  3. Step 3: Cross multiply
    164,359.13x = 353,246.06 × 353,246.06
  4. Step 4: Simplify right side
    164,359.13x = 124,782,780,671.75
  5. Step 5: Solve for x
    x = 124,782,780,671.75/164,359.13
  6. Step 6: Final answer
    x = 759,208.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.