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Finding the Third Proportional to 205,340 and 307,174

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Solution

The third proportional to 205,340 and 307,174 is: 459,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,340 : 307,174 = 307,174 : x
  2. Step 2: Convert to fraction form
    205,340/307,174 = 307,174/x
  3. Step 3: Cross multiply
    205,340x = 307,174 × 307,174
  4. Step 4: Simplify right side
    205,340x = 94,355,866,276
  5. Step 5: Solve for x
    x = 94,355,866,276/205,340
  6. Step 6: Final answer
    x = 459,510.40

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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.