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Finding the Third Proportional to 185,496 and 403,878

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Solution

The third proportional to 185,496 and 403,878 is: 879,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,496 : 403,878 = 403,878 : x
  2. Step 2: Convert to fraction form
    185,496/403,878 = 403,878/x
  3. Step 3: Cross multiply
    185,496x = 403,878 × 403,878
  4. Step 4: Simplify right side
    185,496x = 163,117,438,884
  5. Step 5: Solve for x
    x = 163,117,438,884/185,496
  6. Step 6: Final answer
    x = 879,358.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.