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Finding the Third Proportional to 164,036.25 and 341,160.75

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Solution

The third proportional to 164,036.25 and 341,160.75 is: 709,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,036.25 : 341,160.75 = 341,160.75 : x
  2. Step 2: Convert to fraction form
    164,036.25/341,160.75 = 341,160.75/x
  3. Step 3: Cross multiply
    164,036.25x = 341,160.75 × 341,160.75
  4. Step 4: Simplify right side
    164,036.25x = 116,390,657,340.56
  5. Step 5: Solve for x
    x = 116,390,657,340.56/164,036.25
  6. Step 6: Final answer
    x = 709,542.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.