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Finding the Third Proportional to 236,880 and 351,712

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Solution

The third proportional to 236,880 and 351,712 is: 522,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,880 : 351,712 = 351,712 : x
  2. Step 2: Convert to fraction form
    236,880/351,712 = 351,712/x
  3. Step 3: Cross multiply
    236,880x = 351,712 × 351,712
  4. Step 4: Simplify right side
    236,880x = 123,701,330,944
  5. Step 5: Solve for x
    x = 123,701,330,944/236,880
  6. Step 6: Final answer
    x = 522,210.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.