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Finding the Third Proportional to 166,046 and 360,316

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Solution

The third proportional to 166,046 and 360,316 is: 781,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,046 : 360,316 = 360,316 : x
  2. Step 2: Convert to fraction form
    166,046/360,316 = 360,316/x
  3. Step 3: Cross multiply
    166,046x = 360,316 × 360,316
  4. Step 4: Simplify right side
    166,046x = 129,827,619,856
  5. Step 5: Solve for x
    x = 129,827,619,856/166,046
  6. Step 6: Final answer
    x = 781,877.43

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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.