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Finding the Third Proportional to 172,988.50 and 243,500

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Solution

The third proportional to 172,988.50 and 243,500 is: 342,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,988.50 : 243,500 = 243,500 : x
  2. Step 2: Convert to fraction form
    172,988.50/243,500 = 243,500/x
  3. Step 3: Cross multiply
    172,988.50x = 243,500 × 243,500
  4. Step 4: Simplify right side
    172,988.50x = 59,292,250,000
  5. Step 5: Solve for x
    x = 59,292,250,000/172,988.50
  6. Step 6: Final answer
    x = 342,752.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.