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Finding the Third Proportional to 166,413 and 359,068

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Solution

The third proportional to 166,413 and 359,068 is: 774,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,413 : 359,068 = 359,068 : x
  2. Step 2: Convert to fraction form
    166,413/359,068 = 359,068/x
  3. Step 3: Cross multiply
    166,413x = 359,068 × 359,068
  4. Step 4: Simplify right side
    166,413x = 128,929,828,624
  5. Step 5: Solve for x
    x = 128,929,828,624/166,413
  6. Step 6: Final answer
    x = 774,758.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.