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Finding the Third Proportional to 225,276.19 and 304,084.13

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Solution

The third proportional to 225,276.19 and 304,084.13 is: 410,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,276.19 : 304,084.13 = 304,084.13 : x
  2. Step 2: Convert to fraction form
    225,276.19/304,084.13 = 304,084.13/x
  3. Step 3: Cross multiply
    225,276.19x = 304,084.13 × 304,084.13
  4. Step 4: Simplify right side
    225,276.19x = 92,467,155,077.02
  5. Step 5: Solve for x
    x = 92,467,155,077.02/225,276.19
  6. Step 6: Final answer
    x = 410,461.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.