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Finding the Third Proportional to 163,605.38 and 342,110.25

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Solution

The third proportional to 163,605.38 and 342,110.25 is: 715,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,605.38 : 342,110.25 = 342,110.25 : x
  2. Step 2: Convert to fraction form
    163,605.38/342,110.25 = 342,110.25/x
  3. Step 3: Cross multiply
    163,605.38x = 342,110.25 × 342,110.25
  4. Step 4: Simplify right side
    163,605.38x = 117,039,423,155.06
  5. Step 5: Solve for x
    x = 117,039,423,155.06/163,605.38
  6. Step 6: Final answer
    x = 715,376.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.