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Finding the Third Proportional to 154,080 and 236,502

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Solution

The third proportional to 154,080 and 236,502 is: 363,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,080 : 236,502 = 236,502 : x
  2. Step 2: Convert to fraction form
    154,080/236,502 = 236,502/x
  3. Step 3: Cross multiply
    154,080x = 236,502 × 236,502
  4. Step 4: Simplify right side
    154,080x = 55,933,196,004
  5. Step 5: Solve for x
    x = 55,933,196,004/154,080
  6. Step 6: Final answer
    x = 363,013.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.