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Finding the Third Proportional to 163,634 and 240,069

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Solution

The third proportional to 163,634 and 240,069 is: 352,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,634 : 240,069 = 240,069 : x
  2. Step 2: Convert to fraction form
    163,634/240,069 = 240,069/x
  3. Step 3: Cross multiply
    163,634x = 240,069 × 240,069
  4. Step 4: Simplify right side
    163,634x = 57,633,124,761
  5. Step 5: Solve for x
    x = 57,633,124,761/163,634
  6. Step 6: Final answer
    x = 352,207.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.