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Finding the Third Proportional to 202,385.50 and 292,386

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Solution

The third proportional to 202,385.50 and 292,386 is: 422,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,385.50 : 292,386 = 292,386 : x
  2. Step 2: Convert to fraction form
    202,385.50/292,386 = 292,386/x
  3. Step 3: Cross multiply
    202,385.50x = 292,386 × 292,386
  4. Step 4: Simplify right side
    202,385.50x = 85,489,572,996
  5. Step 5: Solve for x
    x = 85,489,572,996/202,385.50
  6. Step 6: Final answer
    x = 422,409.57

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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.