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Finding the Third Proportional to 225,395.16 and 351,017.30

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Solution

The third proportional to 225,395.16 and 351,017.30 is: 546,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,395.16 : 351,017.30 = 351,017.30 : x
  2. Step 2: Convert to fraction form
    225,395.16/351,017.30 = 351,017.30/x
  3. Step 3: Cross multiply
    225,395.16x = 351,017.30 × 351,017.30
  4. Step 4: Simplify right side
    225,395.16x = 123,213,142,705.43
  5. Step 5: Solve for x
    x = 123,213,142,705.43/225,395.16
  6. Step 6: Final answer
    x = 546,653.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.