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Finding the Third Proportional to 231,914 and 358,827

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Solution

The third proportional to 231,914 and 358,827 is: 555,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,914 : 358,827 = 358,827 : x
  2. Step 2: Convert to fraction form
    231,914/358,827 = 358,827/x
  3. Step 3: Cross multiply
    231,914x = 358,827 × 358,827
  4. Step 4: Simplify right side
    231,914x = 128,756,815,929
  5. Step 5: Solve for x
    x = 128,756,815,929/231,914
  6. Step 6: Final answer
    x = 555,192.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.