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Finding the Third Proportional to 109,465.50 and 236,031

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Solution

The third proportional to 109,465.50 and 236,031 is: 508,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,465.50 : 236,031 = 236,031 : x
  2. Step 2: Convert to fraction form
    109,465.50/236,031 = 236,031/x
  3. Step 3: Cross multiply
    109,465.50x = 236,031 × 236,031
  4. Step 4: Simplify right side
    109,465.50x = 55,710,632,961
  5. Step 5: Solve for x
    x = 55,710,632,961/109,465.50
  6. Step 6: Final answer
    x = 508,933.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.