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Finding the Third Proportional to 243,584 and 365,376

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Solution

The third proportional to 243,584 and 365,376 is: 548,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,584 : 365,376 = 365,376 : x
  2. Step 2: Convert to fraction form
    243,584/365,376 = 365,376/x
  3. Step 3: Cross multiply
    243,584x = 365,376 × 365,376
  4. Step 4: Simplify right side
    243,584x = 133,499,621,376
  5. Step 5: Solve for x
    x = 133,499,621,376/243,584
  6. Step 6: Final answer
    x = 548,064

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.