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Finding the Third Proportional to 136,166.25 and 299,210.25

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Solution

The third proportional to 136,166.25 and 299,210.25 is: 657,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,166.25 : 299,210.25 = 299,210.25 : x
  2. Step 2: Convert to fraction form
    136,166.25/299,210.25 = 299,210.25/x
  3. Step 3: Cross multiply
    136,166.25x = 299,210.25 × 299,210.25
  4. Step 4: Simplify right side
    136,166.25x = 89,526,773,705.06
  5. Step 5: Solve for x
    x = 89,526,773,705.06/136,166.25
  6. Step 6: Final answer
    x = 657,481.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.