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Finding the Third Proportional to 233,712 and 330,696

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Solution

The third proportional to 233,712 and 330,696 is: 467,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712 : 330,696 = 330,696 : x
  2. Step 2: Convert to fraction form
    233,712/330,696 = 330,696/x
  3. Step 3: Cross multiply
    233,712x = 330,696 × 330,696
  4. Step 4: Simplify right side
    233,712x = 109,359,844,416
  5. Step 5: Solve for x
    x = 109,359,844,416/233,712
  6. Step 6: Final answer
    x = 467,925.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.