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Finding the Third Proportional to 155,458 and 228,082

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Solution

The third proportional to 155,458 and 228,082 is: 334,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,458 : 228,082 = 228,082 : x
  2. Step 2: Convert to fraction form
    155,458/228,082 = 228,082/x
  3. Step 3: Cross multiply
    155,458x = 228,082 × 228,082
  4. Step 4: Simplify right side
    155,458x = 52,021,398,724
  5. Step 5: Solve for x
    x = 52,021,398,724/155,458
  6. Step 6: Final answer
    x = 334,633.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.