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Finding the Third Proportional to 205,592 and 307,544

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Solution

The third proportional to 205,592 and 307,544 is: 460,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,592 : 307,544 = 307,544 : x
  2. Step 2: Convert to fraction form
    205,592/307,544 = 307,544/x
  3. Step 3: Cross multiply
    205,592x = 307,544 × 307,544
  4. Step 4: Simplify right side
    205,592x = 94,583,311,936
  5. Step 5: Solve for x
    x = 94,583,311,936/205,592
  6. Step 6: Final answer
    x = 460,053.46

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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.