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Finding the Third Proportional to 236,376 and 510,642

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Solution

The third proportional to 236,376 and 510,642 is: 1,103,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,376 : 510,642 = 510,642 : x
  2. Step 2: Convert to fraction form
    236,376/510,642 = 510,642/x
  3. Step 3: Cross multiply
    236,376x = 510,642 × 510,642
  4. Step 4: Simplify right side
    236,376x = 260,755,252,164
  5. Step 5: Solve for x
    x = 260,755,252,164/236,376
  6. Step 6: Final answer
    x = 1,103,137.60

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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.