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Finding the Third Proportional to 176,402 and 265,001

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Solution

The third proportional to 176,402 and 265,001 is: 398,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,402 : 265,001 = 265,001 : x
  2. Step 2: Convert to fraction form
    176,402/265,001 = 265,001/x
  3. Step 3: Cross multiply
    176,402x = 265,001 × 265,001
  4. Step 4: Simplify right side
    176,402x = 70,225,530,001
  5. Step 5: Solve for x
    x = 70,225,530,001/176,402
  6. Step 6: Final answer
    x = 398,099.40

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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.