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Finding the Third Proportional to 174,900.38 and 370,819.13

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Solution

The third proportional to 174,900.38 and 370,819.13 is: 786,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,900.38 : 370,819.13 = 370,819.13 : x
  2. Step 2: Convert to fraction form
    174,900.38/370,819.13 = 370,819.13/x
  3. Step 3: Cross multiply
    174,900.38x = 370,819.13 × 370,819.13
  4. Step 4: Simplify right side
    174,900.38x = 137,506,823,465.77
  5. Step 5: Solve for x
    x = 137,506,823,465.77/174,900.38
  6. Step 6: Final answer
    x = 786,200.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.