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Finding the Third Proportional to 170,432 and 369,072

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Solution

The third proportional to 170,432 and 369,072 is: 799,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,432 : 369,072 = 369,072 : x
  2. Step 2: Convert to fraction form
    170,432/369,072 = 369,072/x
  3. Step 3: Cross multiply
    170,432x = 369,072 × 369,072
  4. Step 4: Simplify right side
    170,432x = 136,214,141,184
  5. Step 5: Solve for x
    x = 136,214,141,184/170,432
  6. Step 6: Final answer
    x = 799,228.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.