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Finding the Third Proportional to 235,016 and 353,046

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Solution

The third proportional to 235,016 and 353,046 is: 530,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,016 : 353,046 = 353,046 : x
  2. Step 2: Convert to fraction form
    235,016/353,046 = 353,046/x
  3. Step 3: Cross multiply
    235,016x = 353,046 × 353,046
  4. Step 4: Simplify right side
    235,016x = 124,641,478,116
  5. Step 5: Solve for x
    x = 124,641,478,116/235,016
  6. Step 6: Final answer
    x = 530,353.16

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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.