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Finding the Third Proportional to 202,722.75 and 304,084.13

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Solution

The third proportional to 202,722.75 and 304,084.13 is: 456,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,722.75 : 304,084.13 = 304,084.13 : x
  2. Step 2: Convert to fraction form
    202,722.75/304,084.13 = 304,084.13/x
  3. Step 3: Cross multiply
    202,722.75x = 304,084.13 × 304,084.13
  4. Step 4: Simplify right side
    202,722.75x = 92,467,155,077.02
  5. Step 5: Solve for x
    x = 92,467,155,077.02/202,722.75
  6. Step 6: Final answer
    x = 456,126.19

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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.