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Finding the Third Proportional to 146,394 and 319,560

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Solution

The third proportional to 146,394 and 319,560 is: 697,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,394 : 319,560 = 319,560 : x
  2. Step 2: Convert to fraction form
    146,394/319,560 = 319,560/x
  3. Step 3: Cross multiply
    146,394x = 319,560 × 319,560
  4. Step 4: Simplify right side
    146,394x = 102,118,593,600
  5. Step 5: Solve for x
    x = 102,118,593,600/146,394
  6. Step 6: Final answer
    x = 697,559.97

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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.