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Finding the Third Proportional to 243,184 and 379,536

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Solution

The third proportional to 243,184 and 379,536 is: 592,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,184 : 379,536 = 379,536 : x
  2. Step 2: Convert to fraction form
    243,184/379,536 = 379,536/x
  3. Step 3: Cross multiply
    243,184x = 379,536 × 379,536
  4. Step 4: Simplify right side
    243,184x = 144,047,575,296
  5. Step 5: Solve for x
    x = 144,047,575,296/243,184
  6. Step 6: Final answer
    x = 592,339.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.