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Finding the Third Proportional to 142,156 and 301,808

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Solution

The third proportional to 142,156 and 301,808 is: 640,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,156 : 301,808 = 301,808 : x
  2. Step 2: Convert to fraction form
    142,156/301,808 = 301,808/x
  3. Step 3: Cross multiply
    142,156x = 301,808 × 301,808
  4. Step 4: Simplify right side
    142,156x = 91,088,068,864
  5. Step 5: Solve for x
    x = 91,088,068,864/142,156
  6. Step 6: Final answer
    x = 640,761.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.