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Finding the Third Proportional to 166,041.14 and 358,326.28

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Solution

The third proportional to 166,041.14 and 358,326.28 is: 773,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,041.14 : 358,326.28 = 358,326.28 : x
  2. Step 2: Convert to fraction form
    166,041.14/358,326.28 = 358,326.28/x
  3. Step 3: Cross multiply
    166,041.14x = 358,326.28 × 358,326.28
  4. Step 4: Simplify right side
    166,041.14x = 128,397,723,834.45
  5. Step 5: Solve for x
    x = 128,397,723,834.45/166,041.14
  6. Step 6: Final answer
    x = 773,288.62

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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.