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Finding the Third Proportional to 163,456.75 and 352,717

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Solution

The third proportional to 163,456.75 and 352,717 is: 761,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,456.75 : 352,717 = 352,717 : x
  2. Step 2: Convert to fraction form
    163,456.75/352,717 = 352,717/x
  3. Step 3: Cross multiply
    163,456.75x = 352,717 × 352,717
  4. Step 4: Simplify right side
    163,456.75x = 124,409,282,089
  5. Step 5: Solve for x
    x = 124,409,282,089/163,456.75
  6. Step 6: Final answer
    x = 761,114.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.