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Finding the Third Proportional to 162,832.50 and 354,339

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Solution

The third proportional to 162,832.50 and 354,339 is: 771,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,832.50 : 354,339 = 354,339 : x
  2. Step 2: Convert to fraction form
    162,832.50/354,339 = 354,339/x
  3. Step 3: Cross multiply
    162,832.50x = 354,339 × 354,339
  4. Step 4: Simplify right side
    162,832.50x = 125,556,126,921
  5. Step 5: Solve for x
    x = 125,556,126,921/162,832.50
  6. Step 6: Final answer
    x = 771,075.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.