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Finding the Third Proportional to 296,158 and 433,130

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Solution

The third proportional to 296,158 and 433,130 is: 633,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,158 : 433,130 = 433,130 : x
  2. Step 2: Convert to fraction form
    296,158/433,130 = 433,130/x
  3. Step 3: Cross multiply
    296,158x = 433,130 × 433,130
  4. Step 4: Simplify right side
    296,158x = 187,601,596,900
  5. Step 5: Solve for x
    x = 187,601,596,900/296,158
  6. Step 6: Final answer
    x = 633,451.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.