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Finding the Third Proportional to 142,138 and 309,316

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Solution

The third proportional to 142,138 and 309,316 is: 673,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,138 : 309,316 = 309,316 : x
  2. Step 2: Convert to fraction form
    142,138/309,316 = 309,316/x
  3. Step 3: Cross multiply
    142,138x = 309,316 × 309,316
  4. Step 4: Simplify right side
    142,138x = 95,676,387,856
  5. Step 5: Solve for x
    x = 95,676,387,856/142,138
  6. Step 6: Final answer
    x = 673,123.22

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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.