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Finding the Third Proportional to 147,180 and 319,964

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Solution

The third proportional to 147,180 and 319,964 is: 695,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,180 : 319,964 = 319,964 : x
  2. Step 2: Convert to fraction form
    147,180/319,964 = 319,964/x
  3. Step 3: Cross multiply
    147,180x = 319,964 × 319,964
  4. Step 4: Simplify right side
    147,180x = 102,376,961,296
  5. Step 5: Solve for x
    x = 102,376,961,296/147,180
  6. Step 6: Final answer
    x = 695,590.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.