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Finding the Third Proportional to 255,154 and 365,235

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Solution

The third proportional to 255,154 and 365,235 is: 522,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,154 : 365,235 = 365,235 : x
  2. Step 2: Convert to fraction form
    255,154/365,235 = 365,235/x
  3. Step 3: Cross multiply
    255,154x = 365,235 × 365,235
  4. Step 4: Simplify right side
    255,154x = 133,396,605,225
  5. Step 5: Solve for x
    x = 133,396,605,225/255,154
  6. Step 6: Final answer
    x = 522,808.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.