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Finding the Third Proportional to 158,952 and 240,048

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Solution

The third proportional to 158,952 and 240,048 is: 362,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,952 : 240,048 = 240,048 : x
  2. Step 2: Convert to fraction form
    158,952/240,048 = 240,048/x
  3. Step 3: Cross multiply
    158,952x = 240,048 × 240,048
  4. Step 4: Simplify right side
    158,952x = 57,623,042,304
  5. Step 5: Solve for x
    x = 57,623,042,304/158,952
  6. Step 6: Final answer
    x = 362,518.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.