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Finding the Third Proportional to 72,444 and 156,946.50

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Solution

The third proportional to 72,444 and 156,946.50 is: 340,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,444 : 156,946.50 = 156,946.50 : x
  2. Step 2: Convert to fraction form
    72,444/156,946.50 = 156,946.50/x
  3. Step 3: Cross multiply
    72,444x = 156,946.50 × 156,946.50
  4. Step 4: Simplify right side
    72,444x = 24,632,203,862.25
  5. Step 5: Solve for x
    x = 24,632,203,862.25/72,444
  6. Step 6: Final answer
    x = 340,017.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.