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Finding the Third Proportional to 109,458.50 and 236,381

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Solution

The third proportional to 109,458.50 and 236,381 is: 510,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,458.50 : 236,381 = 236,381 : x
  2. Step 2: Convert to fraction form
    109,458.50/236,381 = 236,381/x
  3. Step 3: Cross multiply
    109,458.50x = 236,381 × 236,381
  4. Step 4: Simplify right side
    109,458.50x = 55,875,977,161
  5. Step 5: Solve for x
    x = 55,875,977,161/109,458.50
  6. Step 6: Final answer
    x = 510,476.36

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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.