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Finding the Third Proportional to 205,224.50 and 307,011

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Solution

The third proportional to 205,224.50 and 307,011 is: 459,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224.50 : 307,011 = 307,011 : x
  2. Step 2: Convert to fraction form
    205,224.50/307,011 = 307,011/x
  3. Step 3: Cross multiply
    205,224.50x = 307,011 × 307,011
  4. Step 4: Simplify right side
    205,224.50x = 94,255,754,121
  5. Step 5: Solve for x
    x = 94,255,754,121/205,224.50
  6. Step 6: Final answer
    x = 459,281.20

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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.