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Finding the Third Proportional to 205,254 and 307,062

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Solution

The third proportional to 205,254 and 307,062 is: 459,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,254 : 307,062 = 307,062 : x
  2. Step 2: Convert to fraction form
    205,254/307,062 = 307,062/x
  3. Step 3: Cross multiply
    205,254x = 307,062 × 307,062
  4. Step 4: Simplify right side
    205,254x = 94,287,071,844
  5. Step 5: Solve for x
    x = 94,287,071,844/205,254
  6. Step 6: Final answer
    x = 459,367.77

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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.