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Finding the Third Proportional to 155,969 and 235,358

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Solution

The third proportional to 155,969 and 235,358 is: 355,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,969 : 235,358 = 235,358 : x
  2. Step 2: Convert to fraction form
    155,969/235,358 = 235,358/x
  3. Step 3: Cross multiply
    155,969x = 235,358 × 235,358
  4. Step 4: Simplify right side
    155,969x = 55,393,388,164
  5. Step 5: Solve for x
    x = 55,393,388,164/155,969
  6. Step 6: Final answer
    x = 355,156.40

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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.