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Finding the Third Proportional to 109,894 and 235,332

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Solution

The third proportional to 109,894 and 235,332 is: 503,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,894 : 235,332 = 235,332 : x
  2. Step 2: Convert to fraction form
    109,894/235,332 = 235,332/x
  3. Step 3: Cross multiply
    109,894x = 235,332 × 235,332
  4. Step 4: Simplify right side
    109,894x = 55,381,150,224
  5. Step 5: Solve for x
    x = 55,381,150,224/109,894
  6. Step 6: Final answer
    x = 503,950.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.