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Finding the Third Proportional to 146,528 and 319,900

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Solution

The third proportional to 146,528 and 319,900 is: 698,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,528 : 319,900 = 319,900 : x
  2. Step 2: Convert to fraction form
    146,528/319,900 = 319,900/x
  3. Step 3: Cross multiply
    146,528x = 319,900 × 319,900
  4. Step 4: Simplify right side
    146,528x = 102,336,010,000
  5. Step 5: Solve for x
    x = 102,336,010,000/146,528
  6. Step 6: Final answer
    x = 698,405.83

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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.