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Finding the Third Proportional to 243,786 and 365,688

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Solution

The third proportional to 243,786 and 365,688 is: 548,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,786 : 365,688 = 365,688 : x
  2. Step 2: Convert to fraction form
    243,786/365,688 = 365,688/x
  3. Step 3: Cross multiply
    243,786x = 365,688 × 365,688
  4. Step 4: Simplify right side
    243,786x = 133,727,713,344
  5. Step 5: Solve for x
    x = 133,727,713,344/243,786
  6. Step 6: Final answer
    x = 548,545.50

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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.