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Finding the Third Proportional to 166,384.13 and 357,706.13

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Solution

The third proportional to 166,384.13 and 357,706.13 is: 769,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,384.13 : 357,706.13 = 357,706.13 : x
  2. Step 2: Convert to fraction form
    166,384.13/357,706.13 = 357,706.13/x
  3. Step 3: Cross multiply
    166,384.13x = 357,706.13 × 357,706.13
  4. Step 4: Simplify right side
    166,384.13x = 127,953,671,862.52
  5. Step 5: Solve for x
    x = 127,953,671,862.52/166,384.13
  6. Step 6: Final answer
    x = 769,025.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.