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Finding the Third Proportional to 166,384.13 and 358,525.13

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Solution

The third proportional to 166,384.13 and 358,525.13 is: 772,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,384.13 : 358,525.13 = 358,525.13 : x
  2. Step 2: Convert to fraction form
    166,384.13/358,525.13 = 358,525.13/x
  3. Step 3: Cross multiply
    166,384.13x = 358,525.13 × 358,525.13
  4. Step 4: Simplify right side
    166,384.13x = 128,540,265,256.27
  5. Step 5: Solve for x
    x = 128,540,265,256.27/166,384.13
  6. Step 6: Final answer
    x = 772,551.26

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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.