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Finding the Third Proportional to 176,411 and 265,013

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Solution

The third proportional to 176,411 and 265,013 is: 398,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,411 : 265,013 = 265,013 : x
  2. Step 2: Convert to fraction form
    176,411/265,013 = 265,013/x
  3. Step 3: Cross multiply
    176,411x = 265,013 × 265,013
  4. Step 4: Simplify right side
    176,411x = 70,231,890,169
  5. Step 5: Solve for x
    x = 70,231,890,169/176,411
  6. Step 6: Final answer
    x = 398,115.14

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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.