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Finding the Third Proportional to 166,196 and 360,432

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Solution

The third proportional to 166,196 and 360,432 is: 781,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,196 : 360,432 = 360,432 : x
  2. Step 2: Convert to fraction form
    166,196/360,432 = 360,432/x
  3. Step 3: Cross multiply
    166,196x = 360,432 × 360,432
  4. Step 4: Simplify right side
    166,196x = 129,911,226,624
  5. Step 5: Solve for x
    x = 129,911,226,624/166,196
  6. Step 6: Final answer
    x = 781,674.81

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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.