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Finding the Third Proportional to 225,102 and 492,022

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Solution

The third proportional to 225,102 and 492,022 is: 1,075,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,102 : 492,022 = 492,022 : x
  2. Step 2: Convert to fraction form
    225,102/492,022 = 492,022/x
  3. Step 3: Cross multiply
    225,102x = 492,022 × 492,022
  4. Step 4: Simplify right side
    225,102x = 242,085,648,484
  5. Step 5: Solve for x
    x = 242,085,648,484/225,102
  6. Step 6: Final answer
    x = 1,075,448.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.