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Finding the Third Proportional to 98,820 and 238,848.75

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Solution

The third proportional to 98,820 and 238,848.75 is: 577,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,820 : 238,848.75 = 238,848.75 : x
  2. Step 2: Convert to fraction form
    98,820/238,848.75 = 238,848.75/x
  3. Step 3: Cross multiply
    98,820x = 238,848.75 × 238,848.75
  4. Step 4: Simplify right side
    98,820x = 57,048,725,376.56
  5. Step 5: Solve for x
    x = 57,048,725,376.56/98,820
  6. Step 6: Final answer
    x = 577,299.39

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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.