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Finding the Third Proportional to 84,924 and 185,184

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Solution

The third proportional to 84,924 and 185,184 is: 403,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,924 : 185,184 = 185,184 : x
  2. Step 2: Convert to fraction form
    84,924/185,184 = 185,184/x
  3. Step 3: Cross multiply
    84,924x = 185,184 × 185,184
  4. Step 4: Simplify right side
    84,924x = 34,293,113,856
  5. Step 5: Solve for x
    x = 34,293,113,856/84,924
  6. Step 6: Final answer
    x = 403,809.45

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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.