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Finding the Third Proportional to 170,953.50 and 244,098

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Solution

The third proportional to 170,953.50 and 244,098 is: 348,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,953.50 : 244,098 = 244,098 : x
  2. Step 2: Convert to fraction form
    170,953.50/244,098 = 244,098/x
  3. Step 3: Cross multiply
    170,953.50x = 244,098 × 244,098
  4. Step 4: Simplify right side
    170,953.50x = 59,583,833,604
  5. Step 5: Solve for x
    x = 59,583,833,604/170,953.50
  6. Step 6: Final answer
    x = 348,538.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.