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Finding the Third Proportional to 152,353.50 and 323,139

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Solution

The third proportional to 152,353.50 and 323,139 is: 685,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,353.50 : 323,139 = 323,139 : x
  2. Step 2: Convert to fraction form
    152,353.50/323,139 = 323,139/x
  3. Step 3: Cross multiply
    152,353.50x = 323,139 × 323,139
  4. Step 4: Simplify right side
    152,353.50x = 104,418,813,321
  5. Step 5: Solve for x
    x = 104,418,813,321/152,353.50
  6. Step 6: Final answer
    x = 685,371.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.