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Finding the Third Proportional to 161,352 and 318,726

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Solution

The third proportional to 161,352 and 318,726 is: 629,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,352 : 318,726 = 318,726 : x
  2. Step 2: Convert to fraction form
    161,352/318,726 = 318,726/x
  3. Step 3: Cross multiply
    161,352x = 318,726 × 318,726
  4. Step 4: Simplify right side
    161,352x = 101,586,263,076
  5. Step 5: Solve for x
    x = 101,586,263,076/161,352
  6. Step 6: Final answer
    x = 629,594.07

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.