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Finding the Third Proportional to 236,715.75 and 342,635.06

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Solution

The third proportional to 236,715.75 and 342,635.06 is: 495,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,715.75 : 342,635.06 = 342,635.06 : x
  2. Step 2: Convert to fraction form
    236,715.75/342,635.06 = 342,635.06/x
  3. Step 3: Cross multiply
    236,715.75x = 342,635.06 × 342,635.06
  4. Step 4: Simplify right side
    236,715.75x = 117,398,786,054.38
  5. Step 5: Solve for x
    x = 117,398,786,054.38/236,715.75
  6. Step 6: Final answer
    x = 495,948.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.