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Finding the Third Proportional to 243,669 and 365,503.50

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Solution

The third proportional to 243,669 and 365,503.50 is: 548,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,669 : 365,503.50 = 365,503.50 : x
  2. Step 2: Convert to fraction form
    243,669/365,503.50 = 365,503.50/x
  3. Step 3: Cross multiply
    243,669x = 365,503.50 × 365,503.50
  4. Step 4: Simplify right side
    243,669x = 133,592,808,512.25
  5. Step 5: Solve for x
    x = 133,592,808,512.25/243,669
  6. Step 6: Final answer
    x = 548,255.25

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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.