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Finding the Third Proportional to 182,473.88 and 400,469.63

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Solution

The third proportional to 182,473.88 and 400,469.63 is: 878,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,473.88 : 400,469.63 = 400,469.63 : x
  2. Step 2: Convert to fraction form
    182,473.88/400,469.63 = 400,469.63/x
  3. Step 3: Cross multiply
    182,473.88x = 400,469.63 × 400,469.63
  4. Step 4: Simplify right side
    182,473.88x = 160,375,920,547.64
  5. Step 5: Solve for x
    x = 160,375,920,547.64/182,473.88
  6. Step 6: Final answer
    x = 878,897.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.