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Finding the Third Proportional to 237,070.50 and 354,201

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Solution

The third proportional to 237,070.50 and 354,201 is: 529,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,070.50 : 354,201 = 354,201 : x
  2. Step 2: Convert to fraction form
    237,070.50/354,201 = 354,201/x
  3. Step 3: Cross multiply
    237,070.50x = 354,201 × 354,201
  4. Step 4: Simplify right side
    237,070.50x = 125,458,348,401
  5. Step 5: Solve for x
    x = 125,458,348,401/237,070.50
  6. Step 6: Final answer
    x = 529,202.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.