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Finding the Third Proportional to 176,754 and 265,863

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Solution

The third proportional to 176,754 and 265,863 is: 399,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,754 : 265,863 = 265,863 : x
  2. Step 2: Convert to fraction form
    176,754/265,863 = 265,863/x
  3. Step 3: Cross multiply
    176,754x = 265,863 × 265,863
  4. Step 4: Simplify right side
    176,754x = 70,683,134,769
  5. Step 5: Solve for x
    x = 70,683,134,769/176,754
  6. Step 6: Final answer
    x = 399,895.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.