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Finding the Third Proportional to 142,477 and 304,023

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Solution

The third proportional to 142,477 and 304,023 is: 648,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,477 : 304,023 = 304,023 : x
  2. Step 2: Convert to fraction form
    142,477/304,023 = 304,023/x
  3. Step 3: Cross multiply
    142,477x = 304,023 × 304,023
  4. Step 4: Simplify right side
    142,477x = 92,429,984,529
  5. Step 5: Solve for x
    x = 92,429,984,529/142,477
  6. Step 6: Final answer
    x = 648,736.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.