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Finding the Third Proportional to 251,386 and 351,639

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Solution

The third proportional to 251,386 and 351,639 is: 491,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,386 : 351,639 = 351,639 : x
  2. Step 2: Convert to fraction form
    251,386/351,639 = 351,639/x
  3. Step 3: Cross multiply
    251,386x = 351,639 × 351,639
  4. Step 4: Simplify right side
    251,386x = 123,649,986,321
  5. Step 5: Solve for x
    x = 123,649,986,321/251,386
  6. Step 6: Final answer
    x = 491,873.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.