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Finding the Third Proportional to 162,758.50 and 356,549

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Solution

The third proportional to 162,758.50 and 356,549 is: 781,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,758.50 : 356,549 = 356,549 : x
  2. Step 2: Convert to fraction form
    162,758.50/356,549 = 356,549/x
  3. Step 3: Cross multiply
    162,758.50x = 356,549 × 356,549
  4. Step 4: Simplify right side
    162,758.50x = 127,127,189,401
  5. Step 5: Solve for x
    x = 127,127,189,401/162,758.50
  6. Step 6: Final answer
    x = 781,078.65

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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.