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Finding the Third Proportional to 155,176 and 235,644

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Solution

The third proportional to 155,176 and 235,644 is: 357,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,176 : 235,644 = 235,644 : x
  2. Step 2: Convert to fraction form
    155,176/235,644 = 235,644/x
  3. Step 3: Cross multiply
    155,176x = 235,644 × 235,644
  4. Step 4: Simplify right side
    155,176x = 55,528,094,736
  5. Step 5: Solve for x
    x = 55,528,094,736/155,176
  6. Step 6: Final answer
    x = 357,839.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.