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Finding the Third Proportional to 202,371 and 439,732.50

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Solution

The third proportional to 202,371 and 439,732.50 is: 955,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,371 : 439,732.50 = 439,732.50 : x
  2. Step 2: Convert to fraction form
    202,371/439,732.50 = 439,732.50/x
  3. Step 3: Cross multiply
    202,371x = 439,732.50 × 439,732.50
  4. Step 4: Simplify right side
    202,371x = 193,364,671,556.25
  5. Step 5: Solve for x
    x = 193,364,671,556.25/202,371
  6. Step 6: Final answer
    x = 955,495.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.