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Finding the Third Proportional to 235,294 and 355,135

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Solution

The third proportional to 235,294 and 355,135 is: 536,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,294 : 355,135 = 355,135 : x
  2. Step 2: Convert to fraction form
    235,294/355,135 = 355,135/x
  3. Step 3: Cross multiply
    235,294x = 355,135 × 355,135
  4. Step 4: Simplify right side
    235,294x = 126,120,868,225
  5. Step 5: Solve for x
    x = 126,120,868,225/235,294
  6. Step 6: Final answer
    x = 536,013.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.