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Finding the Third Proportional to 207,633 and 296,913

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Solution

The third proportional to 207,633 and 296,913 is: 424,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,633 : 296,913 = 296,913 : x
  2. Step 2: Convert to fraction form
    207,633/296,913 = 296,913/x
  3. Step 3: Cross multiply
    207,633x = 296,913 × 296,913
  4. Step 4: Simplify right side
    207,633x = 88,157,329,569
  5. Step 5: Solve for x
    x = 88,157,329,569/207,633
  6. Step 6: Final answer
    x = 424,582.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.