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Finding the Third Proportional to 176,402 and 265,000

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Solution

The third proportional to 176,402 and 265,000 is: 398,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,402 : 265,000 = 265,000 : x
  2. Step 2: Convert to fraction form
    176,402/265,000 = 265,000/x
  3. Step 3: Cross multiply
    176,402x = 265,000 × 265,000
  4. Step 4: Simplify right side
    176,402x = 70,225,000,000
  5. Step 5: Solve for x
    x = 70,225,000,000/176,402
  6. Step 6: Final answer
    x = 398,096.39

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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.