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Finding the Third Proportional to 158,946 and 240,039

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Solution

The third proportional to 158,946 and 240,039 is: 362,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,946 : 240,039 = 240,039 : x
  2. Step 2: Convert to fraction form
    158,946/240,039 = 240,039/x
  3. Step 3: Cross multiply
    158,946x = 240,039 × 240,039
  4. Step 4: Simplify right side
    158,946x = 57,618,721,521
  5. Step 5: Solve for x
    x = 57,618,721,521/158,946
  6. Step 6: Final answer
    x = 362,505.01

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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.