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Finding the Third Proportional to 161,056 and 342,854

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Solution

The third proportional to 161,056 and 342,854 is: 729,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,056 : 342,854 = 342,854 : x
  2. Step 2: Convert to fraction form
    161,056/342,854 = 342,854/x
  3. Step 3: Cross multiply
    161,056x = 342,854 × 342,854
  4. Step 4: Simplify right side
    161,056x = 117,548,865,316
  5. Step 5: Solve for x
    x = 117,548,865,316/161,056
  6. Step 6: Final answer
    x = 729,863.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.