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Finding the Third Proportional to 146,304 and 319,416

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Solution

The third proportional to 146,304 and 319,416 is: 697,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,304 : 319,416 = 319,416 : x
  2. Step 2: Convert to fraction form
    146,304/319,416 = 319,416/x
  3. Step 3: Cross multiply
    146,304x = 319,416 × 319,416
  4. Step 4: Simplify right side
    146,304x = 102,026,581,056
  5. Step 5: Solve for x
    x = 102,026,581,056/146,304
  6. Step 6: Final answer
    x = 697,360.16

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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.