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Finding the Third Proportional to 176,557 and 265,230

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Solution

The third proportional to 176,557 and 265,230 is: 398,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,557 : 265,230 = 265,230 : x
  2. Step 2: Convert to fraction form
    176,557/265,230 = 265,230/x
  3. Step 3: Cross multiply
    176,557x = 265,230 × 265,230
  4. Step 4: Simplify right side
    176,557x = 70,346,952,900
  5. Step 5: Solve for x
    x = 70,346,952,900/176,557
  6. Step 6: Final answer
    x = 398,437.63

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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.