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Finding the Third Proportional to 155,370 and 235,156

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Solution

The third proportional to 155,370 and 235,156 is: 355,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,370 : 235,156 = 235,156 : x
  2. Step 2: Convert to fraction form
    155,370/235,156 = 235,156/x
  3. Step 3: Cross multiply
    155,370x = 235,156 × 235,156
  4. Step 4: Simplify right side
    155,370x = 55,298,344,336
  5. Step 5: Solve for x
    x = 55,298,344,336/155,370
  6. Step 6: Final answer
    x = 355,913.91

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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.