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Finding the Third Proportional to 200,740.78 and 295,563.94

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Solution

The third proportional to 200,740.78 and 295,563.94 is: 435,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.78 : 295,563.94 = 295,563.94 : x
  2. Step 2: Convert to fraction form
    200,740.78/295,563.94 = 295,563.94/x
  3. Step 3: Cross multiply
    200,740.78x = 295,563.94 × 295,563.94
  4. Step 4: Simplify right side
    200,740.78x = 87,358,041,150.50
  5. Step 5: Solve for x
    x = 87,358,041,150.50/200,740.78
  6. Step 6: Final answer
    x = 435,178.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.