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Finding the Third Proportional to 146,416 and 319,602

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Solution

The third proportional to 146,416 and 319,602 is: 697,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,416 : 319,602 = 319,602 : x
  2. Step 2: Convert to fraction form
    146,416/319,602 = 319,602/x
  3. Step 3: Cross multiply
    146,416x = 319,602 × 319,602
  4. Step 4: Simplify right side
    146,416x = 102,145,438,404
  5. Step 5: Solve for x
    x = 102,145,438,404/146,416
  6. Step 6: Final answer
    x = 697,638.50

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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.