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Finding the Third Proportional to 235,014 and 353,043

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Solution

The third proportional to 235,014 and 353,043 is: 530,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,014 : 353,043 = 353,043 : x
  2. Step 2: Convert to fraction form
    235,014/353,043 = 353,043/x
  3. Step 3: Cross multiply
    235,014x = 353,043 × 353,043
  4. Step 4: Simplify right side
    235,014x = 124,639,359,849
  5. Step 5: Solve for x
    x = 124,639,359,849/235,014
  6. Step 6: Final answer
    x = 530,348.66

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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.