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Finding the Third Proportional to 114,482 and 168,411

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Solution

The third proportional to 114,482 and 168,411 is: 247,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,482 : 168,411 = 168,411 : x
  2. Step 2: Convert to fraction form
    114,482/168,411 = 168,411/x
  3. Step 3: Cross multiply
    114,482x = 168,411 × 168,411
  4. Step 4: Simplify right side
    114,482x = 28,362,264,921
  5. Step 5: Solve for x
    x = 28,362,264,921/114,482
  6. Step 6: Final answer
    x = 247,744.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.