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Finding the Third Proportional to 153,236 and 356,090

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Solution

The third proportional to 153,236 and 356,090 is: 827,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,236 : 356,090 = 356,090 : x
  2. Step 2: Convert to fraction form
    153,236/356,090 = 356,090/x
  3. Step 3: Cross multiply
    153,236x = 356,090 × 356,090
  4. Step 4: Simplify right side
    153,236x = 126,800,088,100
  5. Step 5: Solve for x
    x = 126,800,088,100/153,236
  6. Step 6: Final answer
    x = 827,482.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.