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Finding the Third Proportional to 163,252.13 and 252,266.06

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Solution

The third proportional to 163,252.13 and 252,266.06 is: 389,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,252.13 : 252,266.06 = 252,266.06 : x
  2. Step 2: Convert to fraction form
    163,252.13/252,266.06 = 252,266.06/x
  3. Step 3: Cross multiply
    163,252.13x = 252,266.06 × 252,266.06
  4. Step 4: Simplify right side
    163,252.13x = 63,638,166,289.25
  5. Step 5: Solve for x
    x = 63,638,166,289.25/163,252.13
  6. Step 6: Final answer
    x = 389,815.24

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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.