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Finding the Third Proportional to 180,448 and 256,464

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Solution

The third proportional to 180,448 and 256,464 is: 364,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,448 : 256,464 = 256,464 : x
  2. Step 2: Convert to fraction form
    180,448/256,464 = 256,464/x
  3. Step 3: Cross multiply
    180,448x = 256,464 × 256,464
  4. Step 4: Simplify right side
    180,448x = 65,773,783,296
  5. Step 5: Solve for x
    x = 65,773,783,296/180,448
  6. Step 6: Final answer
    x = 364,502.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.