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Finding the Third Proportional to 185,440 and 400,445

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Solution

The third proportional to 185,440 and 400,445 is: 864,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,440 : 400,445 = 400,445 : x
  2. Step 2: Convert to fraction form
    185,440/400,445 = 400,445/x
  3. Step 3: Cross multiply
    185,440x = 400,445 × 400,445
  4. Step 4: Simplify right side
    185,440x = 160,356,198,025
  5. Step 5: Solve for x
    x = 160,356,198,025/185,440
  6. Step 6: Final answer
    x = 864,733.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.