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Finding the Third Proportional to 160,813.55 and 342,426.38

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Solution

The third proportional to 160,813.55 and 342,426.38 is: 729,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,813.55 : 342,426.38 = 342,426.38 : x
  2. Step 2: Convert to fraction form
    160,813.55/342,426.38 = 342,426.38/x
  3. Step 3: Cross multiply
    160,813.55x = 342,426.38 × 342,426.38
  4. Step 4: Simplify right side
    160,813.55x = 117,255,822,295.64
  5. Step 5: Solve for x
    x = 117,255,822,295.64/160,813.55
  6. Step 6: Final answer
    x = 729,141.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.