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Finding the Third Proportional to 218,164.50 and 456,192

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Solution

The third proportional to 218,164.50 and 456,192 is: 953,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,164.50 : 456,192 = 456,192 : x
  2. Step 2: Convert to fraction form
    218,164.50/456,192 = 456,192/x
  3. Step 3: Cross multiply
    218,164.50x = 456,192 × 456,192
  4. Step 4: Simplify right side
    218,164.50x = 208,111,140,864
  5. Step 5: Solve for x
    x = 208,111,140,864/218,164.50
  6. Step 6: Final answer
    x = 953,918.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.