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Finding the Third Proportional to 274,143 and 430,146

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Solution

The third proportional to 274,143 and 430,146 is: 674,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,143 : 430,146 = 430,146 : x
  2. Step 2: Convert to fraction form
    274,143/430,146 = 430,146/x
  3. Step 3: Cross multiply
    274,143x = 430,146 × 430,146
  4. Step 4: Simplify right side
    274,143x = 185,025,581,316
  5. Step 5: Solve for x
    x = 185,025,581,316/274,143
  6. Step 6: Final answer
    x = 674,923.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.