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Finding the Third Proportional to 243,651 and 365,476.50

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Solution

The third proportional to 243,651 and 365,476.50 is: 548,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,651 : 365,476.50 = 365,476.50 : x
  2. Step 2: Convert to fraction form
    243,651/365,476.50 = 365,476.50/x
  3. Step 3: Cross multiply
    243,651x = 365,476.50 × 365,476.50
  4. Step 4: Simplify right side
    243,651x = 133,573,072,052.25
  5. Step 5: Solve for x
    x = 133,573,072,052.25/243,651
  6. Step 6: Final answer
    x = 548,214.75

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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.