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Finding the Third Proportional to 84,465 and 186,354

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Solution

The third proportional to 84,465 and 186,354 is: 411,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,465 : 186,354 = 186,354 : x
  2. Step 2: Convert to fraction form
    84,465/186,354 = 186,354/x
  3. Step 3: Cross multiply
    84,465x = 186,354 × 186,354
  4. Step 4: Simplify right side
    84,465x = 34,727,813,316
  5. Step 5: Solve for x
    x = 34,727,813,316/84,465
  6. Step 6: Final answer
    x = 411,150.34

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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.