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Finding the Third Proportional to 230,460 and 356,724

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Solution

The third proportional to 230,460 and 356,724 is: 552,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,460 : 356,724 = 356,724 : x
  2. Step 2: Convert to fraction form
    230,460/356,724 = 356,724/x
  3. Step 3: Cross multiply
    230,460x = 356,724 × 356,724
  4. Step 4: Simplify right side
    230,460x = 127,252,012,176
  5. Step 5: Solve for x
    x = 127,252,012,176/230,460
  6. Step 6: Final answer
    x = 552,165.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.