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Finding the Third Proportional to 235,491.75 and 341,746.88

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Solution

The third proportional to 235,491.75 and 341,746.88 is: 495,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,491.75 : 341,746.88 = 341,746.88 : x
  2. Step 2: Convert to fraction form
    235,491.75/341,746.88 = 341,746.88/x
  3. Step 3: Cross multiply
    235,491.75x = 341,746.88 × 341,746.88
  4. Step 4: Simplify right side
    235,491.75x = 116,790,926,572.27
  5. Step 5: Solve for x
    x = 116,790,926,572.27/235,491.75
  6. Step 6: Final answer
    x = 495,944.88

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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.