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Finding the Third Proportional to 202,351.50 and 292,338

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Solution

The third proportional to 202,351.50 and 292,338 is: 422,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,351.50 : 292,338 = 292,338 : x
  2. Step 2: Convert to fraction form
    202,351.50/292,338 = 292,338/x
  3. Step 3: Cross multiply
    202,351.50x = 292,338 × 292,338
  4. Step 4: Simplify right side
    202,351.50x = 85,461,506,244
  5. Step 5: Solve for x
    x = 85,461,506,244/202,351.50
  6. Step 6: Final answer
    x = 422,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.