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Finding the Third Proportional to 84,310 and 186,473

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Solution

The third proportional to 84,310 and 186,473 is: 412,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,310 : 186,473 = 186,473 : x
  2. Step 2: Convert to fraction form
    84,310/186,473 = 186,473/x
  3. Step 3: Cross multiply
    84,310x = 186,473 × 186,473
  4. Step 4: Simplify right side
    84,310x = 34,772,179,729
  5. Step 5: Solve for x
    x = 34,772,179,729/84,310
  6. Step 6: Final answer
    x = 412,432.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.