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Finding the Third Proportional to 170,172 and 243,576

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Solution

The third proportional to 170,172 and 243,576 is: 348,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,172 : 243,576 = 243,576 : x
  2. Step 2: Convert to fraction form
    170,172/243,576 = 243,576/x
  3. Step 3: Cross multiply
    170,172x = 243,576 × 243,576
  4. Step 4: Simplify right side
    170,172x = 59,329,267,776
  5. Step 5: Solve for x
    x = 59,329,267,776/170,172
  6. Step 6: Final answer
    x = 348,642.95

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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.