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Finding the Third Proportional to 147,596 and 319,654

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Solution

The third proportional to 147,596 and 319,654 is: 692,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,596 : 319,654 = 319,654 : x
  2. Step 2: Convert to fraction form
    147,596/319,654 = 319,654/x
  3. Step 3: Cross multiply
    147,596x = 319,654 × 319,654
  4. Step 4: Simplify right side
    147,596x = 102,178,679,716
  5. Step 5: Solve for x
    x = 102,178,679,716/147,596
  6. Step 6: Final answer
    x = 692,286.24

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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.