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Finding the Third Proportional to 217,738.13 and 342,159.19

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Solution

The third proportional to 217,738.13 and 342,159.19 is: 537,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,738.13 : 342,159.19 = 342,159.19 : x
  2. Step 2: Convert to fraction form
    217,738.13/342,159.19 = 342,159.19/x
  3. Step 3: Cross multiply
    217,738.13x = 342,159.19 × 342,159.19
  4. Step 4: Simplify right side
    217,738.13x = 117,072,909,590.66
  5. Step 5: Solve for x
    x = 117,072,909,590.66/217,738.13
  6. Step 6: Final answer
    x = 537,677.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.