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Finding the Third Proportional to 205,316 and 307,137

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Solution

The third proportional to 205,316 and 307,137 is: 459,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,316 : 307,137 = 307,137 : x
  2. Step 2: Convert to fraction form
    205,316/307,137 = 307,137/x
  3. Step 3: Cross multiply
    205,316x = 307,137 × 307,137
  4. Step 4: Simplify right side
    205,316x = 94,333,136,769
  5. Step 5: Solve for x
    x = 94,333,136,769/205,316
  6. Step 6: Final answer
    x = 459,453.41

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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.