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Finding the Third Proportional to 97,398 and 238,563.75

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Solution

The third proportional to 97,398 and 238,563.75 is: 584,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,398 : 238,563.75 = 238,563.75 : x
  2. Step 2: Convert to fraction form
    97,398/238,563.75 = 238,563.75/x
  3. Step 3: Cross multiply
    97,398x = 238,563.75 × 238,563.75
  4. Step 4: Simplify right side
    97,398x = 56,912,662,814.06
  5. Step 5: Solve for x
    x = 56,912,662,814.06/97,398
  6. Step 6: Final answer
    x = 584,330.92

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.