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Finding the Third Proportional to 162,465 and 337,930.50

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Solution

The third proportional to 162,465 and 337,930.50 is: 702,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,465 : 337,930.50 = 337,930.50 : x
  2. Step 2: Convert to fraction form
    162,465/337,930.50 = 337,930.50/x
  3. Step 3: Cross multiply
    162,465x = 337,930.50 × 337,930.50
  4. Step 4: Simplify right side
    162,465x = 114,197,022,830.25
  5. Step 5: Solve for x
    x = 114,197,022,830.25/162,465
  6. Step 6: Final answer
    x = 702,902.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.