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Finding the Third Proportional to 175,423.50 and 378,909

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Solution

The third proportional to 175,423.50 and 378,909 is: 818,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,423.50 : 378,909 = 378,909 : x
  2. Step 2: Convert to fraction form
    175,423.50/378,909 = 378,909/x
  3. Step 3: Cross multiply
    175,423.50x = 378,909 × 378,909
  4. Step 4: Simplify right side
    175,423.50x = 143,572,030,281
  5. Step 5: Solve for x
    x = 143,572,030,281/175,423.50
  6. Step 6: Final answer
    x = 818,431.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.