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Finding the Third Proportional to 165,557.25 and 359,923.50

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Solution

The third proportional to 165,557.25 and 359,923.50 is: 782,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,557.25 : 359,923.50 = 359,923.50 : x
  2. Step 2: Convert to fraction form
    165,557.25/359,923.50 = 359,923.50/x
  3. Step 3: Cross multiply
    165,557.25x = 359,923.50 × 359,923.50
  4. Step 4: Simplify right side
    165,557.25x = 129,544,925,852.25
  5. Step 5: Solve for x
    x = 129,544,925,852.25/165,557.25
  6. Step 6: Final answer
    x = 782,478.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.