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Finding the Third Proportional to 142,324 and 309,704

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Solution

The third proportional to 142,324 and 309,704 is: 673,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,324 : 309,704 = 309,704 : x
  2. Step 2: Convert to fraction form
    142,324/309,704 = 309,704/x
  3. Step 3: Cross multiply
    142,324x = 309,704 × 309,704
  4. Step 4: Simplify right side
    142,324x = 95,916,567,616
  5. Step 5: Solve for x
    x = 95,916,567,616/142,324
  6. Step 6: Final answer
    x = 673,931.08

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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.