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Finding the Third Proportional to 174,967 and 256,709

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Solution

The third proportional to 174,967 and 256,709 is: 376,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,967 : 256,709 = 256,709 : x
  2. Step 2: Convert to fraction form
    174,967/256,709 = 256,709/x
  3. Step 3: Cross multiply
    174,967x = 256,709 × 256,709
  4. Step 4: Simplify right side
    174,967x = 65,899,510,681
  5. Step 5: Solve for x
    x = 65,899,510,681/174,967
  6. Step 6: Final answer
    x = 376,639.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.