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Finding the Third Proportional to 235,062 and 353,106

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Solution

The third proportional to 235,062 and 353,106 is: 530,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,062 : 353,106 = 353,106 : x
  2. Step 2: Convert to fraction form
    235,062/353,106 = 353,106/x
  3. Step 3: Cross multiply
    235,062x = 353,106 × 353,106
  4. Step 4: Simplify right side
    235,062x = 124,683,847,236
  5. Step 5: Solve for x
    x = 124,683,847,236/235,062
  6. Step 6: Final answer
    x = 530,429.62

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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.