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Finding the Third Proportional to 200,094.75 and 305,223.75

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Solution

The third proportional to 200,094.75 and 305,223.75 is: 465,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,094.75 : 305,223.75 = 305,223.75 : x
  2. Step 2: Convert to fraction form
    200,094.75/305,223.75 = 305,223.75/x
  3. Step 3: Cross multiply
    200,094.75x = 305,223.75 × 305,223.75
  4. Step 4: Simplify right side
    200,094.75x = 93,161,537,564.06
  5. Step 5: Solve for x
    x = 93,161,537,564.06/200,094.75
  6. Step 6: Final answer
    x = 465,587.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.