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Finding the Third Proportional to 236,184 and 513,840

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Solution

The third proportional to 236,184 and 513,840 is: 1,117,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,184 : 513,840 = 513,840 : x
  2. Step 2: Convert to fraction form
    236,184/513,840 = 513,840/x
  3. Step 3: Cross multiply
    236,184x = 513,840 × 513,840
  4. Step 4: Simplify right side
    236,184x = 264,031,545,600
  5. Step 5: Solve for x
    x = 264,031,545,600/236,184
  6. Step 6: Final answer
    x = 1,117,906.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.