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Finding the Third Proportional to 243,816 and 365,724

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Solution

The third proportional to 243,816 and 365,724 is: 548,586

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,816 : 365,724 = 365,724 : x
  2. Step 2: Convert to fraction form
    243,816/365,724 = 365,724/x
  3. Step 3: Cross multiply
    243,816x = 365,724 × 365,724
  4. Step 4: Simplify right side
    243,816x = 133,754,044,176
  5. Step 5: Solve for x
    x = 133,754,044,176/243,816
  6. Step 6: Final answer
    x = 548,586

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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.