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Finding the Third Proportional to 205,530 and 307,455

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Solution

The third proportional to 205,530 and 307,455 is: 459,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530 : 307,455 = 307,455 : x
  2. Step 2: Convert to fraction form
    205,530/307,455 = 307,455/x
  3. Step 3: Cross multiply
    205,530x = 307,455 × 307,455
  4. Step 4: Simplify right side
    205,530x = 94,528,577,025
  5. Step 5: Solve for x
    x = 94,528,577,025/205,530
  6. Step 6: Final answer
    x = 459,925.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.