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Finding the Third Proportional to 176,953 and 281,459

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Solution

The third proportional to 176,953 and 281,459 is: 447,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,953 : 281,459 = 281,459 : x
  2. Step 2: Convert to fraction form
    176,953/281,459 = 281,459/x
  3. Step 3: Cross multiply
    176,953x = 281,459 × 281,459
  4. Step 4: Simplify right side
    176,953x = 79,219,168,681
  5. Step 5: Solve for x
    x = 79,219,168,681/176,953
  6. Step 6: Final answer
    x = 447,684.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.