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Finding the Third Proportional to 166,284 and 353,340

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Solution

The third proportional to 166,284 and 353,340 is: 750,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,284 : 353,340 = 353,340 : x
  2. Step 2: Convert to fraction form
    166,284/353,340 = 353,340/x
  3. Step 3: Cross multiply
    166,284x = 353,340 × 353,340
  4. Step 4: Simplify right side
    166,284x = 124,849,155,600
  5. Step 5: Solve for x
    x = 124,849,155,600/166,284
  6. Step 6: Final answer
    x = 750,818.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.