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Finding the Third Proportional to 144,827.50 and 302,896.50

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Solution

The third proportional to 144,827.50 and 302,896.50 is: 633,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,827.50 : 302,896.50 = 302,896.50 : x
  2. Step 2: Convert to fraction form
    144,827.50/302,896.50 = 302,896.50/x
  3. Step 3: Cross multiply
    144,827.50x = 302,896.50 × 302,896.50
  4. Step 4: Simplify right side
    144,827.50x = 91,746,289,712.25
  5. Step 5: Solve for x
    x = 91,746,289,712.25/144,827.50
  6. Step 6: Final answer
    x = 633,486.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.