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Finding the Third Proportional to 147,423.75 and 220,903.50

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Solution

The third proportional to 147,423.75 and 220,903.50 is: 331,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,423.75 : 220,903.50 = 220,903.50 : x
  2. Step 2: Convert to fraction form
    147,423.75/220,903.50 = 220,903.50/x
  3. Step 3: Cross multiply
    147,423.75x = 220,903.50 × 220,903.50
  4. Step 4: Simplify right side
    147,423.75x = 48,798,356,312.25
  5. Step 5: Solve for x
    x = 48,798,356,312.25/147,423.75
  6. Step 6: Final answer
    x = 331,007.43

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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.