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Finding the Third Proportional to 175,501 and 256,669

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Solution

The third proportional to 175,501 and 256,669 is: 375,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,501 : 256,669 = 256,669 : x
  2. Step 2: Convert to fraction form
    175,501/256,669 = 256,669/x
  3. Step 3: Cross multiply
    175,501x = 256,669 × 256,669
  4. Step 4: Simplify right side
    175,501x = 65,878,975,561
  5. Step 5: Solve for x
    x = 65,878,975,561/175,501
  6. Step 6: Final answer
    x = 375,376.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.