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Finding the Third Proportional to 176,602 and 265,627

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Solution

The third proportional to 176,602 and 265,627 is: 399,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,602 : 265,627 = 265,627 : x
  2. Step 2: Convert to fraction form
    176,602/265,627 = 265,627/x
  3. Step 3: Cross multiply
    176,602x = 265,627 × 265,627
  4. Step 4: Simplify right side
    176,602x = 70,557,703,129
  5. Step 5: Solve for x
    x = 70,557,703,129/176,602
  6. Step 6: Final answer
    x = 399,529.47

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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.