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Finding the Third Proportional to 132,460 and 283,859

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Solution

The third proportional to 132,460 and 283,859 is: 608,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,460 : 283,859 = 283,859 : x
  2. Step 2: Convert to fraction form
    132,460/283,859 = 283,859/x
  3. Step 3: Cross multiply
    132,460x = 283,859 × 283,859
  4. Step 4: Simplify right side
    132,460x = 80,575,931,881
  5. Step 5: Solve for x
    x = 80,575,931,881/132,460
  6. Step 6: Final answer
    x = 608,303.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.