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Finding the Third Proportional to 176,712 and 281,460

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Solution

The third proportional to 176,712 and 281,460 is: 448,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,712 : 281,460 = 281,460 : x
  2. Step 2: Convert to fraction form
    176,712/281,460 = 281,460/x
  3. Step 3: Cross multiply
    176,712x = 281,460 × 281,460
  4. Step 4: Simplify right side
    176,712x = 79,219,731,600
  5. Step 5: Solve for x
    x = 79,219,731,600/176,712
  6. Step 6: Final answer
    x = 448,298.54

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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.