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Finding the Third Proportional to 176,663 and 265,967

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Solution

The third proportional to 176,663 and 265,967 is: 400,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,663 : 265,967 = 265,967 : x
  2. Step 2: Convert to fraction form
    176,663/265,967 = 265,967/x
  3. Step 3: Cross multiply
    176,663x = 265,967 × 265,967
  4. Step 4: Simplify right side
    176,663x = 70,738,445,089
  5. Step 5: Solve for x
    x = 70,738,445,089/176,663
  6. Step 6: Final answer
    x = 400,414.60

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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.