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Finding the Third Proportional to 141,938 and 309,076

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Solution

The third proportional to 141,938 and 309,076 is: 673,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,938 : 309,076 = 309,076 : x
  2. Step 2: Convert to fraction form
    141,938/309,076 = 309,076/x
  3. Step 3: Cross multiply
    141,938x = 309,076 × 309,076
  4. Step 4: Simplify right side
    141,938x = 95,527,973,776
  5. Step 5: Solve for x
    x = 95,527,973,776/141,938
  6. Step 6: Final answer
    x = 673,026.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.