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Finding the Third Proportional to 98,995.50 and 239,247

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Solution

The third proportional to 98,995.50 and 239,247 is: 578,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,995.50 : 239,247 = 239,247 : x
  2. Step 2: Convert to fraction form
    98,995.50/239,247 = 239,247/x
  3. Step 3: Cross multiply
    98,995.50x = 239,247 × 239,247
  4. Step 4: Simplify right side
    98,995.50x = 57,239,127,009
  5. Step 5: Solve for x
    x = 57,239,127,009/98,995.50
  6. Step 6: Final answer
    x = 578,199.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.