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Finding the Third Proportional to 233,681 and 350,134

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Solution

The third proportional to 233,681 and 350,134 is: 524,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,681 : 350,134 = 350,134 : x
  2. Step 2: Convert to fraction form
    233,681/350,134 = 350,134/x
  3. Step 3: Cross multiply
    233,681x = 350,134 × 350,134
  4. Step 4: Simplify right side
    233,681x = 122,593,817,956
  5. Step 5: Solve for x
    x = 122,593,817,956/233,681
  6. Step 6: Final answer
    x = 524,620.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.