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Finding the Third Proportional to 170,176 and 243,582

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Solution

The third proportional to 170,176 and 243,582 is: 348,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,176 : 243,582 = 243,582 : x
  2. Step 2: Convert to fraction form
    170,176/243,582 = 243,582/x
  3. Step 3: Cross multiply
    170,176x = 243,582 × 243,582
  4. Step 4: Simplify right side
    170,176x = 59,332,190,724
  5. Step 5: Solve for x
    x = 59,332,190,724/170,176
  6. Step 6: Final answer
    x = 348,651.93

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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.