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Finding the Third Proportional to 239,301 and 303,637.50

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Solution

The third proportional to 239,301 and 303,637.50 is: 385,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,301 : 303,637.50 = 303,637.50 : x
  2. Step 2: Convert to fraction form
    239,301/303,637.50 = 303,637.50/x
  3. Step 3: Cross multiply
    239,301x = 303,637.50 × 303,637.50
  4. Step 4: Simplify right side
    239,301x = 92,195,731,406.25
  5. Step 5: Solve for x
    x = 92,195,731,406.25/239,301
  6. Step 6: Final answer
    x = 385,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.