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Finding the Third Proportional to 72,306 and 156,309.75

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Solution

The third proportional to 72,306 and 156,309.75 is: 337,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,306 : 156,309.75 = 156,309.75 : x
  2. Step 2: Convert to fraction form
    72,306/156,309.75 = 156,309.75/x
  3. Step 3: Cross multiply
    72,306x = 156,309.75 × 156,309.75
  4. Step 4: Simplify right side
    72,306x = 24,432,737,945.06
  5. Step 5: Solve for x
    x = 24,432,737,945.06/72,306
  6. Step 6: Final answer
    x = 337,907.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.