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Finding the Third Proportional to 115,819.50 and 243,789

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Solution

The third proportional to 115,819.50 and 243,789 is: 513,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,819.50 : 243,789 = 243,789 : x
  2. Step 2: Convert to fraction form
    115,819.50/243,789 = 243,789/x
  3. Step 3: Cross multiply
    115,819.50x = 243,789 × 243,789
  4. Step 4: Simplify right side
    115,819.50x = 59,433,076,521
  5. Step 5: Solve for x
    x = 59,433,076,521/115,819.50
  6. Step 6: Final answer
    x = 513,152.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.