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Finding the Third Proportional to 225,018 and 492,068

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Solution

The third proportional to 225,018 and 492,068 is: 1,076,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,018 : 492,068 = 492,068 : x
  2. Step 2: Convert to fraction form
    225,018/492,068 = 492,068/x
  3. Step 3: Cross multiply
    225,018x = 492,068 × 492,068
  4. Step 4: Simplify right side
    225,018x = 242,130,916,624
  5. Step 5: Solve for x
    x = 242,130,916,624/225,018
  6. Step 6: Final answer
    x = 1,076,051.32

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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.