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Finding the Third Proportional to 163,570 and 239,969

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Solution

The third proportional to 163,570 and 239,969 is: 352,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,570 : 239,969 = 239,969 : x
  2. Step 2: Convert to fraction form
    163,570/239,969 = 239,969/x
  3. Step 3: Cross multiply
    163,570x = 239,969 × 239,969
  4. Step 4: Simplify right side
    163,570x = 57,585,120,961
  5. Step 5: Solve for x
    x = 57,585,120,961/163,570
  6. Step 6: Final answer
    x = 352,051.85

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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.