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Finding the Third Proportional to 161,644.50 and 353,385

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Solution

The third proportional to 161,644.50 and 353,385 is: 772,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,644.50 : 353,385 = 353,385 : x
  2. Step 2: Convert to fraction form
    161,644.50/353,385 = 353,385/x
  3. Step 3: Cross multiply
    161,644.50x = 353,385 × 353,385
  4. Step 4: Simplify right side
    161,644.50x = 124,880,958,225
  5. Step 5: Solve for x
    x = 124,880,958,225/161,644.50
  6. Step 6: Final answer
    x = 772,565.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.