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Finding the Third Proportional to 143,008 and 307,940

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Solution

The third proportional to 143,008 and 307,940 is: 663,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,008 : 307,940 = 307,940 : x
  2. Step 2: Convert to fraction form
    143,008/307,940 = 307,940/x
  3. Step 3: Cross multiply
    143,008x = 307,940 × 307,940
  4. Step 4: Simplify right side
    143,008x = 94,827,043,600
  5. Step 5: Solve for x
    x = 94,827,043,600/143,008
  6. Step 6: Final answer
    x = 663,089.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.