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Finding the Third Proportional to 202,980.94 and 434,119.50

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Solution

The third proportional to 202,980.94 and 434,119.50 is: 928,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,980.94 : 434,119.50 = 434,119.50 : x
  2. Step 2: Convert to fraction form
    202,980.94/434,119.50 = 434,119.50/x
  3. Step 3: Cross multiply
    202,980.94x = 434,119.50 × 434,119.50
  4. Step 4: Simplify right side
    202,980.94x = 188,459,740,280.25
  5. Step 5: Solve for x
    x = 188,459,740,280.25/202,980.94
  6. Step 6: Final answer
    x = 928,460.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.