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Finding the Third Proportional to 163,622 and 240,046

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Solution

The third proportional to 163,622 and 240,046 is: 352,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,622 : 240,046 = 240,046 : x
  2. Step 2: Convert to fraction form
    163,622/240,046 = 240,046/x
  3. Step 3: Cross multiply
    163,622x = 240,046 × 240,046
  4. Step 4: Simplify right side
    163,622x = 57,622,082,116
  5. Step 5: Solve for x
    x = 57,622,082,116/163,622
  6. Step 6: Final answer
    x = 352,165.86

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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.